164879936 has 28 divisors (see below), whose sum is σ = 352353372. Its totient is φ = 76098048.

The previous prime is 164879933. The next prime is 164879947. The reversal of 164879936 is 639978461.

164879936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95257600 + 69622336 = 9760^2 + 8344^2 .

It is not an unprimeable number, because it can be changed into a prime (164879933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98255 + ... + 99918.

It is an arithmetic number, because the mean of its divisors is an integer number (12584049).

Almost surely, 2^164879936 is an apocalyptic number.

164879936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164879936 is an abundant number, since it is smaller than the sum of its proper divisors (187473436).

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

164879936 is a wasteful number, since it uses less digits than its factorization.

164879936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198198 (or 198188 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 164879936 is about 12840.5582433164. The cubic root of 164879936 is about 548.3475870399.

The spelling of 164879936 in words is "one hundred sixty-four million, eight hundred seventy-nine thousand, nine hundred thirty-six".