164628800 has 84 divisors (see below), whose sum is σ = 462991200. Its totient is φ = 56440320.

The previous prime is 164628791. The next prime is 164628823. The reversal of 164628800 is 8826461.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3851 + ... + 18549.

It is an arithmetic number, because the mean of its divisors is an integer number (5511800).

Almost surely, 2^164628800 is an apocalyptic number.

164628800 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 164628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231495600).

164628800 is an abundant number, since it is smaller than the sum of its proper divisors (298362400).

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

164628800 is a wasteful number, since it uses less digits than its factorization.

164628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14728 (or 14713 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 164628800 is about 12830.7755026733. The cubic root of 164628800 is about 548.0690413306.

The spelling of 164628800 in words is "one hundred sixty-four million, six hundred twenty-eight thousand, eight hundred".