632978160 has 160 divisors (see below), whose sum is σ = 2083676160. Its totient is φ = 158505984.

The previous prime is 632978149. The next prime is 632978167. The reversal of 632978160 is 61879236.

It is a happy number.

It is a super-2 number, since 2×632978160² = 801322702073971200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632978167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578574 + ... + 579666.

It is an arithmetic number, because the mean of its divisors is an integer number (13022976).

Almost surely, 2^632978160 is an apocalyptic number.

632978160 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 632978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041838080).

632978160 is an abundant number, since it is smaller than the sum of its proper divisors (1450698000).

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

632978160 is a wasteful number, since it uses less digits than its factorization.

632978160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 632978160 is about 25159.0572160405. The cubic root of 632978160 is about 858.6105922621.

The spelling of 632978160 in words is "six hundred thirty-two million, nine hundred seventy-eight thousand, one hundred sixty".