682515624 has 64 divisors (see below), whose sum is σ = 1956464640. Its totient is φ = 194362560.

The previous prime is 682515583. The next prime is 682515637. The reversal of 682515624 is 426515286.

It is a Cunningham number, because it is equal to 26125²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45717 + ... + 58779.

It is an arithmetic number, because the mean of its divisors is an integer number (30569760).

Almost surely, 2^682515624 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 682515624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978232320).

682515624 is an abundant number, since it is smaller than the sum of its proper divisors (1273949016).

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

682515624 is a wasteful number, since it uses less digits than its factorization.

682515624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13390 (or 13386 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 682515624 is about 26124.9999808612. Note that the first 4 decimals coincide. The cubic root of 682515624 is about 880.4489891996.

The spelling of 682515624 in words is "six hundred eighty-two million, five hundred fifteen thousand, six hundred twenty-four".