120164864 has 40 divisors (see below), whose sum is σ = 248404860. Its totient is φ = 58003456.

The previous prime is 120164843. The next prime is 120164881. The reversal of 120164864 is 468461021.

It can be written as a sum of positive squares in 2 ways, for example, as 120121600 + 43264 = 10960^2 + 208^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 120164864.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10802 + ... + 18894.

Almost surely, 2^120164864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124202430).

120164864 is an abundant number, since it is smaller than the sum of its proper divisors (128239996).

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

120164864 is an frugal number, since it uses more digits than its factorization.

120164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8124 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 120164864 is about 10961.9735449416. The cubic root of 120164864 is about 493.4681946047.

The spelling of 120164864 in words is "one hundred twenty million, one hundred sixty-four thousand, eight hundred sixty-four".