15255856 has 120 divisors (see below), whose sum is σ = 39439440. Its totient is φ = 5644800.

The previous prime is 15255853. The next prime is 15255857. The reversal of 15255856 is 65855251.

15255856 = 375² + 376² + ... + 461².

It is a super-2 number, since 2×15255856² = 465482284585472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15255853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250066 + ... + 250126.

It is an arithmetic number, because the mean of its divisors is an integer number (328662).

Almost surely, 2^15255856 is an apocalyptic number.

15255856 is a gapful number since it is divisible by the number (16) 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 15255856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19719720).

15255856 is an abundant number, since it is smaller than the sum of its proper divisors (24183584).

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

15255856 is a wasteful number, since it uses less digits than its factorization.

15255856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its digits is 60000, while the sum is 37.

The square root of 15255856 is about 3905.8745499568. The cubic root of 15255856 is about 248.0155210543.

It can be divided in two parts, 1525 and 5856, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 15255856 in words is "fifteen million, two hundred fifty-five thousand, eight hundred fifty-six".