866874624 has 288 divisors, whose sum is σ = 2924522496. Its totient is φ = 221429760.

The previous prime is 866874611. The next prime is 866874643. The reversal of 866874624 is 426478668.

It is a super-2 number, since 2×866874624² = 1502943227470282752, which contains 22 as substring.

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

It is a congruent number.

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, 6327484 + ... + 6327620.

It is an arithmetic number, because the mean of its divisors is an integer number (10154592).

Almost surely, 2^866874624 is an apocalyptic number.

866874624 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 866874624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462261248).

866874624 is an abundant number, since it is smaller than the sum of its proper divisors (2057647872).

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

866874624 is a wasteful number, since it uses less digits than its factorization.

866874624 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 digits is 3096576, while the sum is 51.

The square root of 866874624 is about 29442.7346555988. The cubic root of 866874624 is about 953.4957538101.

The spelling of 866874624 in words is "eight hundred sixty-six million, eight hundred seventy-four thousand, six hundred twenty-four".