164120796 has 72 divisors (see below), whose sum is σ = 494983440. Its totient is φ = 46890144.

The previous prime is 164120791. The next prime is 164120813. The reversal of 164120796 is 697021461.

164120796 is a `hidden beast` number, since 1 + 641 + 2 + 0 + 7 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164120796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164120791) 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, 10215 + ... + 20798.

It is an arithmetic number, because the mean of its divisors is an integer number (6874770).

Almost surely, 2^164120796 is an apocalyptic number.

It is an amenable number.

164120796 is an abundant number, since it is smaller than the sum of its proper divisors (330862644).

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

164120796 is a wasteful number, since it uses less digits than its factorization.

164120796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31040 (or 31025 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 164120796 is about 12810.9638981616. The cubic root of 164120796 is about 547.5047250484.

The spelling of 164120796 in words is "one hundred sixty-four million, one hundred twenty thousand, seven hundred ninety-six".