682536400 has 240 divisors, whose sum is σ = 2138863104. Its totient is φ = 203120640.

The previous prime is 682536391. The next prime is 682536403. The reversal of 682536400 is 4635286.

It is a happy number.

682536400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682536403) 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, 618249 + ... + 619351.

Almost surely, 2^682536400 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 682536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069431552).

682536400 is an abundant number, since it is smaller than the sum of its proper divisors (1456326704).

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

682536400 is a wasteful number, since it uses less digits than its factorization.

682536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 682536400 is about 26125.3976046299. The cubic root of 682536400 is about 880.4579228278.

The spelling of 682536400 in words is "six hundred eighty-two million, five hundred thirty-six thousand, four hundred".