682133920 has 192 divisors, whose sum is σ = 1828915200. Its totient is φ = 238694400.

The previous prime is 682133917. The next prime is 682133957. The reversal of 682133920 is 29331286.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4578006 + ... + 4578154.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2^682133920 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 682133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

682133920 is an abundant number, since it is smaller than the sum of its proper divisors (1146781280).

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

682133920 is a wasteful number, since it uses less digits than its factorization.

682133920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 682133920 is about 26117.6936194604. The cubic root of 682133920 is about 880.2848251575.

The spelling of 682133920 in words is "six hundred eighty-two million, one hundred thirty-three thousand, nine hundred twenty".