632370984 has 256 divisors, whose sum is σ = 1990656000. Its totient is φ = 163537920.

The previous prime is 632370983. The next prime is 632370997. The reversal of 632370984 is 489073236.

It is a super-2 number, since 2×632370984² = 799786122810256512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (632370983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8004657 + ... + 8004735.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2^632370984 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 632370984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995328000).

632370984 is an abundant number, since it is smaller than the sum of its proper divisors (1358285016).

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

632370984 is a wasteful number, since it uses less digits than its factorization.

632370984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 632370984 is about 25146.9875730673. The cubic root of 632370984 is about 858.3359674493.

The spelling of 632370984 in words is "six hundred thirty-two million, three hundred seventy thousand, nine hundred eighty-four".