680630400 has 144 divisors (see below), whose sum is σ = 2428748010. Its totient is φ = 181493760.

The previous prime is 680630339. The next prime is 680630441. The reversal of 680630400 is 4036086.

It can be written as a sum of positive squares in 3 ways, for example, as 624200256 + 56430144 = 24984^2 + 7512^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16984 + ... + 40616.

Almost surely, 2^680630400 is an apocalyptic number.

680630400 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 680630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214374005).

680630400 is an abundant number, since it is smaller than the sum of its proper divisors (1748117610).

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

680630400 is a wasteful number, since it uses less digits than its factorization.

680630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23663 (or 23643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 680630400 is about 26088.8941889073. The cubic root of 680630400 is about 879.6375918177.

Adding to 680630400 its reverse (4036086), we get a palindrome (684666486).

The spelling of 680630400 in words is "six hundred eighty million, six hundred thirty thousand, four hundred".