1305920 has 112 divisors (see below), whose sum is σ = 3950208. Its totient is φ = 399360.

The previous prime is 1305919. The next prime is 1305947. The reversal of 1305920 is 295031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1305892 and 1305901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24614 + ... + 24666.

2^1305920 is an apocalyptic number.

1305920 is a gapful number since it is divisible by the number (10) 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 1305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975104).

1305920 is an abundant number, since it is smaller than the sum of its proper divisors (2644288).

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

1305920 is a wasteful number, since it uses less digits than its factorization.

1305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1305920 is about 1142.7685679962. The cubic root of 1305920 is about 109.3047053079.

The spelling of 1305920 in words is "one million, three hundred five thousand, nine hundred twenty".