632316960 has 432 divisors, whose sum is σ = 2509678080. Its totient is φ = 144460800.

The previous prime is 632316953. The next prime is 632316967. The reversal of 632316960 is 69613236.

632316960 is a `hidden beast` number, since 632 + 3 + 16 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (632316953) and next prime (632316967).

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

It is not an unprimeable number, because it can be changed into a prime (632316967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3310465 + ... + 3310655.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2^632316960 is an apocalyptic number.

632316960 is a gapful number since it is divisible by the number (60) 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 632316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

632316960 is an abundant number, since it is smaller than the sum of its proper divisors (1877361120).

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

632316960 is a wasteful number, since it uses less digits than its factorization.

632316960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 632316960 is about 25145.9133856776. The cubic root of 632316960 is about 858.3115239586.

The spelling of 632316960 in words is "six hundred thirty-two million, three hundred sixteen thousand, nine hundred sixty".