682642400 has 72 divisors (see below), whose sum is σ = 1818024264. Its totient is φ = 248230400.

The previous prime is 682642391. The next prime is 682642417. The reversal of 682642400 is 4246286.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29987 + ... + 47586.

It is an arithmetic number, because the mean of its divisors is an integer number (25250337).

Almost surely, 2^682642400 is an apocalyptic number.

It is an amenable number.

682642400 is an abundant number, since it is smaller than the sum of its proper divisors (1135381864).

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

682642400 is a wasteful number, since it uses less digits than its factorization.

682642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77604 (or 77591 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 682642400 is about 26127.4262031299. The cubic root of 682642400 is about 880.5034997420.

Adding to 682642400 its reverse (4246286), we get a palindrome (686888686).

The spelling of 682642400 in words is "six hundred eighty-two million, six hundred forty-two thousand, four hundred".