682358400 has 576 divisors, whose sum is σ = 2712996000. Its totient is φ = 162570240.

The previous prime is 682358363. The next prime is 682358407. The reversal of 682358400 is 4853286.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×682358400² = 931225972101120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (682358407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15868779 + ... + 15868821.

Almost surely, 2^682358400 is an apocalyptic number.

682358400 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 682358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356498000).

682358400 is an abundant number, since it is smaller than the sum of its proper divisors (2030637600).

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

682358400 is a wasteful number, since it uses less digits than its factorization.

682358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 682358400 is about 26121.9907357766. The cubic root of 682358400 is about 880.3813773932.

The spelling of 682358400 in words is "six hundred eighty-two million, three hundred fifty-eight thousand, four hundred".