156792960 has 192 divisors, whose sum is σ = 548009280. Its totient is φ = 41306112.

The previous prime is 156792953. The next prime is 156792967. The reversal of 156792960 is 69297651.

It is a happy number.

156792960 is a `hidden beast` number, since 1 + 567 + 9 + 29 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (156792953) and next prime (156792967).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156792967) 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, 938797 + ... + 938963.

It is an arithmetic number, because the mean of its divisors is an integer number (2854215).

Almost surely, 2^156792960 is an apocalyptic number.

156792960 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 156792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274004640).

156792960 is an abundant number, since it is smaller than the sum of its proper divisors (391216320).

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

156792960 is a wasteful number, since it uses less digits than its factorization.

156792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 156792960 is about 12521.6995651549. The cubic root of 156792960 is about 539.2318295774.

The spelling of 156792960 in words is "one hundred fifty-six million, seven hundred ninety-two thousand, nine hundred sixty".