630988800 has 336 divisors, whose sum is σ = 2275271040. Its totient is φ = 153354240.

The previous prime is 630988769. The next prime is 630988823. The reversal of 630988800 is 8889036.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7987161 + ... + 7987239.

It is an arithmetic number, because the mean of its divisors is an integer number (6771640).

Almost surely, 2^630988800 is an apocalyptic number.

630988800 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 630988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137635520).

630988800 is an abundant number, since it is smaller than the sum of its proper divisors (1644282240).

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

630988800 is a wasteful number, since it uses less digits than its factorization.

630988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 630988800 is about 25119.4904406917. The cubic root of 630988800 is about 857.7101514413.

The spelling of 630988800 in words is "six hundred thirty million, nine hundred eighty-eight thousand, eight hundred".