630976720 has 80 divisors (see below), whose sum is σ = 1610932608. Its totient is φ = 227934720.

The previous prime is 630976669. The next prime is 630976727. The reversal of 630976720 is 27679036.

630976720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630976727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135877 + ... + 140443.

Almost surely, 2^630976720 is an apocalyptic number.

630976720 is the 12560-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630976720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805466304).

630976720 is an abundant number, since it is smaller than the sum of its proper divisors (979955888).

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

630976720 is a wasteful number, since it uses less digits than its factorization.

630976720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 630976720 is about 25119.2499888034. The cubic root of 630976720 is about 857.7046779133.

The spelling of 630976720 in words is "six hundred thirty million, nine hundred seventy-six thousand, seven hundred twenty".