164656872 has 48 divisors (see below), whose sum is σ = 460337280. Its totient is φ = 53114400.

The previous prime is 164656859. The next prime is 164656879. The reversal of 164656872 is 278656461.

164656872 is a `hidden beast` number, since 16 + 4 + 6 + 568 + 72 = 666.

164656872 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164656872² = 54223770993648768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164656879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34654 + ... + 39117.

It is an arithmetic number, because the mean of its divisors is an integer number (9590360).

Almost surely, 2^164656872 is an apocalyptic number.

164656872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164656872 is an abundant number, since it is smaller than the sum of its proper divisors (295680408).

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

164656872 is a wasteful number, since it uses less digits than its factorization.

164656872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73814 (or 73807 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 164656872 is about 12831.8693883627. The cubic root of 164656872 is about 548.1001912463.

The spelling of 164656872 in words is "one hundred sixty-four million, six hundred fifty-six thousand, eight hundred seventy-two".