164255904 has 192 divisors, whose sum is σ = 519281280. Its totient is φ = 50319360.

The previous prime is 164255899. The next prime is 164255909. The reversal of 164255904 is 409552461.

164255904 is a `hidden beast` number, since 1 + 64 + 2 + 5 + 590 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (164255899) and next prime (164255909).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164255909) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 778359 + ... + 778569.

It is an arithmetic number, because the mean of its divisors is an integer number (2704590).

Almost surely, 2^164255904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164255904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259640640).

164255904 is an abundant number, since it is smaller than the sum of its proper divisors (355025376).

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

164255904 is a wasteful number, since it uses less digits than its factorization.

164255904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 164255904 is about 12816.2359528841. The cubic root of 164255904 is about 547.6549233188.

The spelling of 164255904 in words is "one hundred sixty-four million, two hundred fifty-five thousand, nine hundred four".