864720360 has 384 divisors, whose sum is σ = 3396556800. Its totient is φ = 193777920.

The previous prime is 864720359. The next prime is 864720383. The reversal of 864720360 is 63027468.

864720360 is a `hidden beast` number, since 8 + 647 + 2 + 0 + 3 + 6 + 0 = 666.

864720360 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4830751 + ... + 4830929.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^864720360 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 864720360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698278400).

864720360 is an abundant number, since it is smaller than the sum of its proper divisors (2531836440).

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

864720360 is a wasteful number, since it uses less digits than its factorization.

864720360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 864720360 is about 29406.1279327966. The cubic root of 864720360 is about 952.7052567761.

The spelling of 864720360 in words is "eight hundred sixty-four million, seven hundred twenty thousand, three hundred sixty".