632781168 has 80 divisors (see below), whose sum is σ = 1728460800. Its totient is φ = 198927360.

The previous prime is 632781143. The next prime is 632781169. The reversal of 632781168 is 861187236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632781169) 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 15 ways as a sum of consecutive naturals, for example, 218353 + ... + 221231.

It is an arithmetic number, because the mean of its divisors is an integer number (21605760).

Almost surely, 2^632781168 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 632781168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864230400).

632781168 is an abundant number, since it is smaller than the sum of its proper divisors (1095679632).

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

632781168 is a wasteful number, since it uses less digits than its factorization.

632781168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3144 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 632781168 is about 25155.1419793250. The cubic root of 632781168 is about 858.5215123235.

It can be divided in two parts, 63278 and 1168, that added together give a palindrome (64446).

The spelling of 632781168 in words is "six hundred thirty-two million, seven hundred eighty-one thousand, one hundred sixty-eight".