682634400 has 288 divisors, whose sum is σ = 2564835840. Its totient is φ = 154475520.

The previous prime is 682634389. The next prime is 682634401. The reversal of 682634400 is 4436286.

It is not an unprimeable number, because it can be changed into a prime (682634401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3007087 + ... + 3007313.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^682634400 is an apocalyptic number.

682634400 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 682634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

682634400 is an abundant number, since it is smaller than the sum of its proper divisors (1882201440).

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

682634400 is a wasteful number, since it uses less digits than its factorization.

682634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 682634400 is about 26127.2731068514. The cubic root of 682634400 is about 880.5000601395.

The spelling of 682634400 in words is "six hundred eighty-two million, six hundred thirty-four thousand, four hundred".