15256960 has 64 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 5898240.

The previous prime is 15256937. The next prime is 15256993. The reversal of 15256960 is 6965251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19456 + ... + 20224.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 2^15256960 is an apocalyptic number.

15256960 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 15256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

15256960 is an abundant number, since it is smaller than the sum of its proper divisors (22442240).

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

15256960 is an equidigital number, since it uses as much as digits as its factorization.

15256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 15256960 is about 3906.0158729836. The cubic root of 15256960 is about 248.0215035118.

The spelling of 15256960 in words is "fifteen million, two hundred fifty-six thousand, nine hundred sixty".