156904560 has 160 divisors (see below), whose sum is σ = 572374080. Its totient is φ = 39370752.

The previous prime is 156904481. The next prime is 156904571. The reversal of 156904560 is 65409651.

156904560 is a `hidden beast` number, since 1 + 5 + 6 + 90 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34584 + ... + 38856.

It is an arithmetic number, because the mean of its divisors is an integer number (3577338).

Almost surely, 2^156904560 is an apocalyptic number.

156904560 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 156904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286187040).

156904560 is an abundant number, since it is smaller than the sum of its proper divisors (415469520).

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

156904560 is a wasteful number, since it uses less digits than its factorization.

156904560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 156904560 is about 12526.1550365625. The cubic root of 156904560 is about 539.3597349804.

It can be divided in two parts, 156904 and 560, that added together give a cube (157464 = 54³).

The spelling of 156904560 in words is "one hundred fifty-six million, nine hundred four thousand, five hundred sixty".