682541600 has 72 divisors (see below), whose sum is σ = 1794455460. Its totient is φ = 252011520.

The previous prime is 682541591. The next prime is 682541603. The reversal of 682541600 is 6145286.

It can be written as a sum of positive squares in 6 ways, for example, as 119333776 + 563207824 = 10924^2 + 23732^2 .

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

It is not an unprimeable number, because it can be changed into a prime (682541603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22415 + ... + 43214.

Almost surely, 2^682541600 is an apocalyptic number.

It is an amenable number.

682541600 is an abundant number, since it is smaller than the sum of its proper divisors (1111913860).

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

682541600 is a wasteful number, since it uses less digits than its factorization.

682541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65662 (or 65649 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 682541600 is about 26125.4971244568. The cubic root of 682541600 is about 880.4601587865.

Adding to 682541600 its reverse (6145286), we get a palindrome (688686886).

The spelling of 682541600 in words is "six hundred eighty-two million, five hundred forty-one thousand, six hundred".