164795904 has 320 divisors, whose sum is σ = 604961280. Its totient is φ = 43130880.

The previous prime is 164795881. The next prime is 164795927. The reversal of 164795904 is 409597461.

164795904 is a `hidden beast` number, since 16 + 47 + 9 + 590 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (164795881) and next prime (164795927).

It is a self number, because there is not a number n which added to its sum of digits gives 164795904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257919 + ... + 1258049.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^164795904 is an apocalyptic number.

164795904 is a gapful number since it is divisible by the number (14) 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 164795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

164795904 is an abundant number, since it is smaller than the sum of its proper divisors (440165376).

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

164795904 is a wasteful number, since it uses less digits than its factorization.

164795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 164795904 is about 12837.2856944138. The cubic root of 164795904 is about 548.2544150509.

The spelling of 164795904 in words is "one hundred sixty-four million, seven hundred ninety-five thousand, nine hundred four".