164656400 has 30 divisors (see below), whose sum is σ = 395587962. Its totient is φ = 65862400.

The previous prime is 164656399. The next prime is 164656423. The reversal of 164656400 is 4656461.

It can be written as a sum of positive squares in 3 ways, for example, as 3671056 + 160985344 = 1916^2 + 12688^2 .

It is a super-2 number, since 2×164656400² = 54223460121920000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205421 + ... + 206220.

Almost surely, 2^164656400 is an apocalyptic number.

164656400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164656400 is an abundant number, since it is smaller than the sum of its proper divisors (230931562).

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

164656400 is a wasteful number, since it uses less digits than its factorization.

164656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411659 (or 411648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 164656400 is about 12831.8509966411. The cubic root of 164656400 is about 548.0996675237.

The spelling of 164656400 in words is "one hundred sixty-four million, six hundred fifty-six thousand, four hundred".