682305120 has 576 divisors, whose sum is σ = 2905943040. Its totient is φ = 147806208.

The previous prime is 682305089. The next prime is 682305161. The reversal of 682305120 is 21503286.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6259626 + ... + 6259734.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^682305120 is an apocalyptic number.

682305120 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 682305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452971520).

682305120 is an abundant number, since it is smaller than the sum of its proper divisors (2223637920).

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

682305120 is a wasteful number, since it uses less digits than its factorization.

682305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 682305120 is about 26120.9708854782. The cubic root of 682305120 is about 880.3584627779.

The spelling of 682305120 in words is "six hundred eighty-two million, three hundred five thousand, one hundred twenty".