164889320 has 32 divisors (see below), whose sum is σ = 371989800. Its totient is φ = 65779968.

The previous prime is 164889317. The next prime is 164889337. The reversal of 164889320 is 23988461.

It can be written as a sum of positive squares in 4 ways, for example, as 62758084 + 102131236 = 7922^2 + 10106^2 .

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 7 ways as a sum of consecutive naturals, for example, 10262 + ... + 20858.

Almost surely, 2^164889320 is an apocalyptic number.

164889320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164889320 is an abundant number, since it is smaller than the sum of its proper divisors (207100480).

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

164889320 is a wasteful number, since it uses less digits than its factorization.

164889320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 164889320 is about 12840.9236427914. The cubic root of 164889320 is about 548.3579897532.

The spelling of 164889320 in words is "one hundred sixty-four million, eight hundred eighty-nine thousand, three hundred twenty".