630065600 has 168 divisors, whose sum is σ = 1651650240. Its totient is φ = 236113920.

The previous prime is 630065567. The next prime is 630065609. The reversal of 630065600 is 6560036.

It is a self number, because there is not a number n which added to its sum of digits gives 630065600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630065609) 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 23 ways as a sum of consecutive naturals, for example, 1716617 + ... + 1716983.

Almost surely, 2^630065600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825825120).

630065600 is an abundant number, since it is smaller than the sum of its proper divisors (1021584640).

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

630065600 is a wasteful number, since it uses less digits than its factorization.

630065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 630065600 is about 25101.1075452857. The cubic root of 630065600 is about 857.2916418970.

The spelling of 630065600 in words is "six hundred thirty million, sixty-five thousand, six hundred".