682725120 has 288 divisors, whose sum is σ = 2719664640. Its totient is φ = 141803520.

The previous prime is 682725103. The next prime is 682725179. The reversal of 682725120 is 21527286.

It is a super-2 number, since 2×682725120² = 932227178958028800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294526 + ... + 296834.

It is an arithmetic number, because the mean of its divisors is an integer number (9443280).

Almost surely, 2^682725120 is an apocalyptic number.

682725120 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 682725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359832320).

682725120 is an abundant number, since it is smaller than the sum of its proper divisors (2036939520).

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

682725120 is a wasteful number, since it uses less digits than its factorization.

682725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 682725120 is about 26129.0091660591. The cubic root of 682725120 is about 880.5390636565.

The spelling of 682725120 in words is "six hundred eighty-two million, seven hundred twenty-five thousand, one hundred twenty".