682125840 has 320 divisors, whose sum is σ = 2699827200. Its totient is φ = 156556800.

The previous prime is 682125839. The next prime is 682125853. The reversal of 682125840 is 48521286.

682125840 is a `hidden beast` number, since 68 + 2 + 12 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 682125795 and 682125804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450685 + ... + 452195.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^682125840 is an apocalyptic number.

682125840 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 682125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

682125840 is an abundant number, since it is smaller than the sum of its proper divisors (2017701360).

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

682125840 is a wasteful number, since it uses less digits than its factorization.

682125840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 682125840 is about 26117.5389345934. The cubic root of 682125840 is about 880.2813494326.

The spelling of 682125840 in words is "six hundred eighty-two million, one hundred twenty-five thousand, eight hundred forty".