630131328 has 192 divisors, whose sum is σ = 1883980800. Its totient is φ = 202051584.

The previous prime is 630131309. The next prime is 630131339. The reversal of 630131328 is 823131036.

It is a happy number.

630131328 is a `hidden beast` number, since 6 + 301 + 31 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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, 4961601 + ... + 4961727.

It is an arithmetic number, because the mean of its divisors is an integer number (9812400).

Almost surely, 2^630131328 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 630131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941990400).

630131328 is an abundant number, since it is smaller than the sum of its proper divisors (1253849472).

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

630131328 is a wasteful number, since it uses less digits than its factorization.

630131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 630131328 is about 25102.4167760795. The cubic root of 630131328 is about 857.3214515474.

The spelling of 630131328 in words is "six hundred thirty million, one hundred thirty-one thousand, three hundred twenty-eight".