686634624 has 512 divisors, whose sum is σ = 2467584000. Its totient is φ = 185794560.

The previous prime is 686634601. The next prime is 686634629. The reversal of 686634624 is 426436686.

686634624 is a `hidden beast` number, since 6 + 8 + 6 + 634 + 6 + 2 + 4 = 666.

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 686634624.

It is not an unprimeable number, because it can be changed into a prime (686634629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22149489 + ... + 22149519.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^686634624 is an apocalyptic number.

686634624 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 686634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

686634624 is an abundant number, since it is smaller than the sum of its proper divisors (1780949376).

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

686634624 is a wasteful number, since it uses less digits than its factorization.

686634624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 686634624 is about 26203.7139352421. The cubic root of 686634624 is about 882.2166157762.

The spelling of 686634624 in words is "six hundred eighty-six million, six hundred thirty-four thousand, six hundred twenty-four".