164679984 has 90 divisors (see below), whose sum is σ = 536143140. Its totient is φ = 47049408.

The previous prime is 164679971. The next prime is 164679997. The reversal of 164679984 is 489976461.

164679984 is a `hidden beast` number, since 16 + 467 + 99 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (164679971) and next prime (164679997).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 164679984.

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 17 ways as a sum of consecutive naturals, for example, 4614 + ... + 18725.

It is an arithmetic number, because the mean of its divisors is an integer number (5957146).

Almost surely, 2^164679984 is an apocalyptic number.

164679984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164679984 is an abundant number, since it is smaller than the sum of its proper divisors (371463156).

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

164679984 is a wasteful number, since it uses less digits than its factorization.

164679984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23367 (or 23351 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 164679984 is about 12832.7699270267. The cubic root of 164679984 is about 548.1258346723.

The spelling of 164679984 in words is "one hundred sixty-four million, six hundred seventy-nine thousand, nine hundred eighty-four".