864109760 has 112 divisors (see below), whose sum is σ = 2119286592. Its totient is φ = 335462400.

The previous prime is 864109751. The next prime is 864109783. The reversal of 864109760 is 67901468.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658300 + ... + 1658820.

Almost surely, 2^864109760 is an apocalyptic number.

864109760 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 864109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059643296).

864109760 is an abundant number, since it is smaller than the sum of its proper divisors (1255176832).

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

864109760 is a wasteful number, since it uses less digits than its factorization.

864109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 864109760 is about 29395.7439096207. The cubic root of 864109760 is about 952.4809612184.

The spelling of 864109760 in words is "eight hundred sixty-four million, one hundred nine thousand, seven hundred sixty".