632876160 has 384 divisors, whose sum is σ = 2430864000. Its totient is φ = 139991040.

The previous prime is 632876147. The next prime is 632876173. The reversal of 632876160 is 61678236.

It is an interprime number because it is at equal distance from previous prime (632876147) and next prime (632876173).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20415345 + ... + 20415375.

It is an arithmetic number, because the mean of its divisors is an integer number (6330375).

Almost surely, 2^632876160 is an apocalyptic number.

632876160 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 632876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215432000).

632876160 is an abundant number, since it is smaller than the sum of its proper divisors (1797987840).

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

632876160 is an equidigital number, since it uses as much as digits as its factorization.

632876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 632876160 is about 25157.0300313849. The cubic root of 632876160 is about 858.5644700889.

The spelling of 632876160 in words is "six hundred thirty-two million, eight hundred seventy-six thousand, one hundred sixty".