164518320 has 40 divisors (see below), whose sum is σ = 510007536. Its totient is φ = 43871488.

The previous prime is 164518297. The next prime is 164518331. The reversal of 164518320 is 23815461.

164518320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342507 + ... + 342986.

Almost surely, 2^164518320 is an apocalyptic number.

164518320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164518320 is an abundant number, since it is smaller than the sum of its proper divisors (345489216).

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

164518320 is a wasteful number, since it uses less digits than its factorization.

164518320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685509 (or 685503 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 164518320 is about 12826.4695064542. The cubic root of 164518320 is about 547.9464135003.

The spelling of 164518320 in words is "one hundred sixty-four million, five hundred eighteen thousand, three hundred twenty".