164331920 has 20 divisors (see below), whose sum is σ = 382071900. Its totient is φ = 65732736.

The previous prime is 164331919. The next prime is 164331943. The reversal of 164331920 is 29133461.

It can be written as a sum of positive squares in 2 ways, for example, as 105103504 + 59228416 = 10252^2 + 7696^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1026995 + ... + 1027154.

It is an arithmetic number, because the mean of its divisors is an integer number (19103595).

Almost surely, 2^164331920 is an apocalyptic number.

164331920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164331920 is an abundant number, since it is smaller than the sum of its proper divisors (217739980).

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

164331920 is a wasteful number, since it uses less digits than its factorization.

164331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054162 (or 2054156 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 164331920 is about 12819.2012231652. The cubic root of 164331920 is about 547.7393933748.

The spelling of 164331920 in words is "one hundred sixty-four million, three hundred thirty-one thousand, nine hundred twenty".