864916544 has 56 divisors (see below), whose sum is σ = 1745040960. Its totient is φ = 425286144.

The previous prime is 864916511. The next prime is 864916553. The reversal of 864916544 is 445619468.

It is a happy number.

It is a super-3 number, since 3×864916544³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179602 + ... + 1180334.

Almost surely, 2^864916544 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 864916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872520480).

864916544 is an abundant number, since it is smaller than the sum of its proper divisors (880124416).

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

864916544 is a wasteful number, since it uses less digits than its factorization.

864916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1017 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 864916544 is about 29409.4635109177. The cubic root of 864916544 is about 952.7772998719. Note that the first 3 decimals are identical.

The spelling of 864916544 in words is "eight hundred sixty-four million, nine hundred sixteen thousand, five hundred forty-four".