164656800 has 648 divisors, whose sum is σ = 756389088. Its totient is φ = 34214400.

The previous prime is 164656769. The next prime is 164656813. The reversal of 164656800 is 8656461.

164656800 is a `hidden beast` number, since 1 + 646 + 5 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×164656800² = 54223723572480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14968795 + ... + 14968805.

Almost surely, 2^164656800 is an apocalyptic number.

164656800 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 164656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378194544).

164656800 is an abundant number, since it is smaller than the sum of its proper divisors (591732288).

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

164656800 is a wasteful number, since it uses less digits than its factorization.

164656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 164656800 is about 12831.8665828476. The cubic root of 164656800 is about 548.1001113565.

164656800 divided by its sum of digits (36) gives a triangular number (4573800 = T₃₀₂₄).

The spelling of 164656800 in words is "one hundred sixty-four million, six hundred fifty-six thousand, eight hundred".