245760 has 60 divisors (see below), whose sum is σ = 786408. Its totient is φ = 65536.

The previous prime is 245759. The next prime is 245771. The reversal of 245760 is 67542.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)^{11}.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2 and base 4.

It is a self number, because there is not a number *n* which added to its sum of digits gives 245760.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 80 × 48 × 64.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 245760 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49150 + ... + 49154.

245760 is a Friedman number, since it can be written as (6*5*4^7)/(2+0), using all its digits and the basic arithmetic operations.

2^{245760} is an apocalyptic number.

245760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393204).

245760 is an abundant number, since it is smaller than the sum of its proper divisors (540648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245760 is an frugal number, since it uses more digits than its factorization.

245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 245760 is about 495.7418683145. The cubic root of 245760 is about 62.6378822587.

The spelling of 245760 in words is "two hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 40960 49152 61440 81920 122880 245760

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