215040 has 96 divisors (see below), whose sum is σ = 786240. Its totient is φ = 49152.

The previous prime is 214993. The next prime is 215051. The reversal of 215040 is 40512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

215040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30717 + ... + 30723.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

215040 is a Friedman number, since it can be written as 4^5*(210+0), using all its digits and the basic arithmetic operations.

2^{215040} is an apocalyptic number.

215040 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 215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

215040 is an abundant number, since it is smaller than the sum of its proper divisors (571200).

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

215040 is an equidigital number, since it uses as much as digits as its factorization.

215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 215040 is about 463.7240558781. The cubic root of 215040 is about 59.9109790977.

Adding to 215040 its reverse (40512), we get a palindrome (255552).

The spelling of 215040 in words is "two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1024 1120 1280 1344 1536 1680 1792 1920 2048 2240 2560 2688 3072 3360 3584 3840 4480 5120 5376 6144 6720 7168 7680 8960 10240 10752 13440 14336 15360 17920 21504 26880 30720 35840 43008 53760 71680 107520 215040

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