632368960 has 56 divisors (see below), whose sum is σ = 1509116616. Its totient is φ = 252395520.

The previous prime is 632368937. The next prime is 632368999. The reversal of 632368960 is 69863236.

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 631416384 = 976^2 + 25128^2 .

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 7 ways as a sum of consecutive naturals, for example, 164824 + ... + 168616.

It is an arithmetic number, because the mean of its divisors is an integer number (26948511).

Almost surely, 2^632368960 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 632368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754558308).

632368960 is an abundant number, since it is smaller than the sum of its proper divisors (876747656).

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

632368960 is a wasteful number, since it uses less digits than its factorization.

632368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 632368960 is about 25146.9473296462. The cubic root of 632368960 is about 858.3350517032.

The spelling of 632368960 in words is "six hundred thirty-two million, three hundred sixty-eight thousand, nine hundred sixty".