864698880 has 320 divisors, whose sum is σ = 3022842240. Its totient is φ = 209977344.

The previous prime is 864698839. The next prime is 864698909. The reversal of 864698880 is 88896468.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 864698880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4830631 + ... + 4830809.

It is an arithmetic number, because the mean of its divisors is an integer number (9446382).

Almost surely, 2^864698880 is an apocalyptic number.

864698880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511421120).

864698880 is an abundant number, since it is smaller than the sum of its proper divisors (2158143360).

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

864698880 is a wasteful number, since it uses less digits than its factorization.

864698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The square root of 864698880 is about 29405.7627005320. The cubic root of 864698880 is about 952.6973681841.

The spelling of 864698880 in words is "eight hundred sixty-four million, six hundred ninety-eight thousand, eight hundred eighty".