164944400 has 60 divisors (see below), whose sum is σ = 397577232. Its totient is φ = 65761920.

The previous prime is 164944391. The next prime is 164944411. The reversal of 164944400 is 4449461.

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, 186359 + ... + 187241.

Almost surely, 2^164944400 is an apocalyptic number.

164944400 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 164944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198788616).

164944400 is an abundant number, since it is smaller than the sum of its proper divisors (232632832).

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

164944400 is a wasteful number, since it uses less digits than its factorization.

164944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 164944400 is about 12843.0681692499. The cubic root of 164944400 is about 548.4190412020.

The spelling of 164944400 in words is "one hundred sixty-four million, nine hundred forty-four thousand, four hundred".