682456320 has 864 divisors, whose sum is σ = 3131735040. Its totient is φ = 139345920.

The previous prime is 682456297. The next prime is 682456339. The reversal of 682456320 is 23654286.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 22014705 + ... + 22014735.

Almost surely, 2^682456320 is an apocalyptic number.

682456320 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 682456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565867520).

682456320 is an abundant number, since it is smaller than the sum of its proper divisors (2449278720).

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

682456320 is a wasteful number, since it uses less digits than its factorization.

682456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 682456320 is about 26123.8649514194. The cubic root of 682456320 is about 880.4234876299.

The spelling of 682456320 in words is "six hundred eighty-two million, four hundred fifty-six thousand, three hundred twenty".