164652400 has 120 divisors (see below), whose sum is σ = 450578304. Its totient is φ = 57235200.

The previous prime is 164652391. The next prime is 164652427. The reversal of 164652400 is 4256461.

It is a super-2 number, since 2×164652400² = 54220825651520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100387 + ... + 102013.

Almost surely, 2^164652400 is an apocalyptic number.

164652400 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 164652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225289152).

164652400 is an abundant number, since it is smaller than the sum of its proper divisors (285925904).

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

164652400 is a wasteful number, since it uses less digits than its factorization.

164652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 164652400 is about 12831.6951335356. The cubic root of 164652400 is about 548.0952291571.

The spelling of 164652400 in words is "one hundred sixty-four million, six hundred fifty-two thousand, four hundred".