632516976 has 360 divisors, whose sum is σ = 2265569280. Its totient is φ = 161201664.

The previous prime is 632516957. The next prime is 632517001. The reversal of 632516976 is 679615236.

632516976 is a `hidden beast` number, since 63 + 2 + 516 + 9 + 76 = 666.

632516976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8006505 + ... + 8006583.

It is an arithmetic number, because the mean of its divisors is an integer number (6293248).

Almost surely, 2^632516976 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 632516976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132784640).

632516976 is an abundant number, since it is smaller than the sum of its proper divisors (1633052304).

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

632516976 is a wasteful number, since it uses less digits than its factorization.

632516976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 632516976 is about 25149.8901786867. The cubic root of 632516976 is about 858.4020154632.

The spelling of 632516976 in words is "six hundred thirty-two million, five hundred sixteen thousand, nine hundred seventy-six".