682032960 has 504 divisors, whose sum is σ = 2845795680. Its totient is φ = 155022336.

The previous prime is 682032931. The next prime is 682032971. The reversal of 682032960 is 69230286.

682032960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 3810151 + ... + 3810329.

It is an arithmetic number, because the mean of its divisors is an integer number (5646420).

Almost surely, 2^682032960 is an apocalyptic number.

682032960 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 682032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422897840).

682032960 is an abundant number, since it is smaller than the sum of its proper divisors (2163762720).

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

682032960 is a wasteful number, since it uses less digits than its factorization.

682032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 682032960 is about 26115.7607585917. The cubic root of 682032960 is about 880.2413938320.

The spelling of 682032960 in words is "six hundred eighty-two million, thirty-two thousand, nine hundred sixty".