164942304 has 48 divisors (see below), whose sum is σ = 433859328. Its totient is φ = 54868352.

The previous prime is 164942273. The next prime is 164942321. The reversal of 164942304 is 403249461.

164942304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54889 + ... + 57815.

It is an arithmetic number, because the mean of its divisors is an integer number (9038736).

Almost surely, 2^164942304 is an apocalyptic number.

It is an amenable number.

164942304 is an abundant number, since it is smaller than the sum of its proper divisors (268917024).

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

164942304 is a wasteful number, since it uses less digits than its factorization.

164942304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 164942304 is about 12842.9865685517. The cubic root of 164942304 is about 548.4167182148.

The spelling of 164942304 in words is "one hundred sixty-four million, nine hundred forty-two thousand, three hundred four".