164460800 has 108 divisors (see below), whose sum is σ = 465345216. Its totient is φ = 56371200.

The previous prime is 164460781. The next prime is 164460811. The reversal of 164460800 is 8064461.

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, 42965 + ... + 46635.

It is an arithmetic number, because the mean of its divisors is an integer number (4308752).

Almost surely, 2^164460800 is an apocalyptic number.

164460800 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 164460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232672608).

164460800 is an abundant number, since it is smaller than the sum of its proper divisors (300884416).

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

164460800 is an equidigital number, since it uses as much as digits as its factorization.

164460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 164460800 is about 12824.2270722254. The cubic root of 164460800 is about 547.8825471548.

The spelling of 164460800 in words is "one hundred sixty-four million, four hundred sixty thousand, eight hundred".