164924400 has 60 divisors (see below), whose sum is σ = 528311672. Its totient is φ = 43979520.

The previous prime is 164924399. The next prime is 164924413. The reversal of 164924400 is 4429461.

164924400 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 (60).

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

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, 67519 + ... + 69918.

Almost surely, 2^164924400 is an apocalyptic number.

164924400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164924400 is an abundant number, since it is smaller than the sum of its proper divisors (363387272).

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

164924400 is a wasteful number, since it uses less digits than its factorization.

164924400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137458 (or 137447 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 164924400 is about 12842.2895155031. The cubic root of 164924400 is about 548.3968744917.

The spelling of 164924400 in words is "one hundred sixty-four million, nine hundred twenty-four thousand, four hundred".