164832800 has 72 divisors (see below), whose sum is σ = 439003152. Its totient is φ = 59936000.

The previous prime is 164832793. The next prime is 164832823. The reversal of 164832800 is 8238461.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 566 + ... + 18165.

It is an arithmetic number, because the mean of its divisors is an integer number (6097266).

Almost surely, 2^164832800 is an apocalyptic number.

164832800 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 164832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219501576).

164832800 is an abundant number, since it is smaller than the sum of its proper divisors (274170352).

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

164832800 is a wasteful number, since it uses less digits than its factorization.

164832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18762 (or 18749 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 164832800 is about 12838.7226778991. The cubic root of 164832800 is about 548.2953280529.

The spelling of 164832800 in words is "one hundred sixty-four million, eight hundred thirty-two thousand, eight hundred".