864700920 has 192 divisors, whose sum is σ = 3086385120. Its totient is φ = 216981504.

The previous prime is 864700901. The next prime is 864700931. The reversal of 864700920 is 29007468.

864700920 is a `hidden beast` number, since 8 + 647 + 0 + 0 + 9 + 2 + 0 = 666.

864700920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162624 + ... + 167856.

Almost surely, 2^864700920 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 864700920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543192560).

864700920 is an abundant number, since it is smaller than the sum of its proper divisors (2221684200).

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

864700920 is a wasteful number, since it uses less digits than its factorization.

864700920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 864700920 is about 29405.7973875901. The cubic root of 864700920 is about 952.6981173856.

The spelling of 864700920 in words is "eight hundred sixty-four million, seven hundred thousand, nine hundred twenty".