686133504 has 360 divisors, whose sum is σ = 2433668160. Its totient is φ = 188116992.

The previous prime is 686133449. The next prime is 686133517. The reversal of 686133504 is 405331686.

686133504 is a `hidden beast` number, since 6 + 8 + 613 + 35 + 0 + 4 = 666.

It is a super-2 number, since 2×686133504² = 941558370622636032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4209327 + ... + 4209489.

Almost surely, 2^686133504 is an apocalyptic number.

686133504 is a gapful number since it is divisible by the number (64) 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 686133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216834080).

686133504 is an abundant number, since it is smaller than the sum of its proper divisors (1747534656).

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

686133504 is a wasteful number, since it uses less digits than its factorization.

686133504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 686133504 is about 26194.1501866352. The cubic root of 686133504 is about 882.0019436303.

The spelling of 686133504 in words is "six hundred eighty-six million, one hundred thirty-three thousand, five hundred four".