630009600 has 432 divisors, whose sum is σ = 2402762880. Its totient is φ = 143769600.

The previous prime is 630009571. The next prime is 630009617. The reversal of 630009600 is 6900036.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4012722 + ... + 4012878.

Almost surely, 2^630009600 is an apocalyptic number.

630009600 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 630009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201381440).

630009600 is an abundant number, since it is smaller than the sum of its proper divisors (1772753280).

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

630009600 is a wasteful number, since it uses less digits than its factorization.

630009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 630009600 is about 25099.9920318712. The cubic root of 630009600 is about 857.2662425553.

Adding to 630009600 its reverse (6900036), we get a palindrome (636909636).

The spelling of 630009600 in words is "six hundred thirty million, nine thousand, six hundred".