164792900 has 144 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 57907200.

The previous prime is 164792879. The next prime is 164792911. The reversal of 164792900 is 9297461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2793071 + ... + 2793129.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^164792900 is an apocalyptic number.

164792900 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 164792900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

164792900 is an abundant number, since it is smaller than the sum of its proper divisors (240181180).

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

164792900 is a wasteful number, since it uses less digits than its factorization.

164792900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 164792900 is about 12837.1686909536. The cubic root of 164792900 is about 548.2510837256.

The spelling of 164792900 in words is "one hundred sixty-four million, seven hundred ninety-two thousand, nine hundred".