630396144 has 120 divisors (see below), whose sum is σ = 2104008192. Its totient is φ = 172275840.

The previous prime is 630396139. The next prime is 630396223. The reversal of 630396144 is 441693036.

630396144 is a `hidden beast` number, since 6 + 3 + 0 + 39 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630396099 and 630396108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9589 + ... + 36779.

Almost surely, 2^630396144 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 630396144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052004096).

630396144 is an abundant number, since it is smaller than the sum of its proper divisors (1473612048).

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

630396144 is a wasteful number, since it uses less digits than its factorization.

630396144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27235 (or 27226 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 630396144 is about 25107.6909332579. The cubic root of 630396144 is about 857.4415326749.

The spelling of 630396144 in words is "six hundred thirty million, three hundred ninety-six thousand, one hundred forty-four".