868087584 has 384 divisors, whose sum is σ = 3184796160. Its totient is φ = 223948800.

The previous prime is 868087579. The next prime is 868087631. The reversal of 868087584 is 485780868.

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

It is a self number, because there is not a number n which added to its sum of digits gives 868087584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4795974 + ... + 4796154.

It is an arithmetic number, because the mean of its divisors is an integer number (8293740).

Almost surely, 2^868087584 is an apocalyptic number.

868087584 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 868087584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592398080).

868087584 is an abundant number, since it is smaller than the sum of its proper divisors (2316708576).

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

868087584 is a wasteful number, since it uses less digits than its factorization.

868087584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 868087584 is about 29463.3260851520. The cubic root of 868087584 is about 953.9402676101.

The spelling of 868087584 in words is "eight hundred sixty-eight million, eighty-seven thousand, five hundred eighty-four".