630712992 has 384 divisors, whose sum is σ = 2205536256. Its totient is φ = 153280512.

The previous prime is 630712939. The next prime is 630713029. The reversal of 630712992 is 299217036.

630712992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 630712992.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8639868 + ... + 8639940.

It is an arithmetic number, because the mean of its divisors is an integer number (5743584).

Almost surely, 2^630712992 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 630712992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102768128).

630712992 is an abundant number, since it is smaller than the sum of its proper divisors (1574823264).

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

630712992 is a wasteful number, since it uses less digits than its factorization.

630712992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 630712992 is about 25113.9999203631. Note that the first 4 decimals coincide. The cubic root of 630712992 is about 857.5851635929.

The spelling of 630712992 in words is "six hundred thirty million, seven hundred twelve thousand, nine hundred ninety-two".