864897264 has 360 divisors, whose sum is σ = 3162976128. Its totient is φ = 222549120.

The previous prime is 864897259. The next prime is 864897277. The reversal of 864897264 is 462798468.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 864897264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8083099 + ... + 8083205.

Almost surely, 2^864897264 is an apocalyptic number.

864897264 is a gapful number since it is divisible by the number (84) 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 864897264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581488064).

864897264 is an abundant number, since it is smaller than the sum of its proper divisors (2298078864).

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

864897264 is a wasteful number, since it uses less digits than its factorization.

864897264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 864897264 is about 29409.1357234448. The cubic root of 864897264 is about 952.7702203130.

The spelling of 864897264 in words is "eight hundred sixty-four million, eight hundred ninety-seven thousand, two hundred sixty-four".