682500960 has 144 divisors (see below), whose sum is σ = 2404321920. Its totient is φ = 176117760.

The previous prime is 682500953. The next prime is 682500971. The reversal of 682500960 is 69005286.

682500960 is a `hidden beast` number, since 68 + 2 + 500 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36996 + ... + 52284.

It is an arithmetic number, because the mean of its divisors is an integer number (16696680).

Almost surely, 2^682500960 is an apocalyptic number.

682500960 is a gapful number since it is divisible by the number (60) 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 682500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202160960).

682500960 is an abundant number, since it is smaller than the sum of its proper divisors (1721820960).

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

682500960 is a wasteful number, since it uses less digits than its factorization.

682500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 682500960 is about 26124.7193286359. The cubic root of 682500960 is about 880.4426836070.

The spelling of 682500960 in words is "six hundred eighty-two million, five hundred thousand, nine hundred sixty".