630921984 has 288 divisors, whose sum is σ = 2147475456. Its totient is φ = 159682560.

The previous prime is 630921971. The next prime is 630922001. The reversal of 630921984 is 489129036.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2779279 + ... + 2779505.

It is an arithmetic number, because the mean of its divisors is an integer number (7456512).

Almost surely, 2^630921984 is an apocalyptic number.

630921984 is a gapful number since it is divisible by the number (64) 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 630921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073737728).

630921984 is an abundant number, since it is smaller than the sum of its proper divisors (1516553472).

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

630921984 is a wasteful number, since it uses less digits than its factorization.

630921984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 630921984 is about 25118.1604421980. The cubic root of 630921984 is about 857.6798757933.

The spelling of 630921984 in words is "six hundred thirty million, nine hundred twenty-one thousand, nine hundred eighty-four".