632987520 has 512 divisors, whose sum is σ = 2442908160. Its totient is φ = 137625600.

The previous prime is 632987473. The next prime is 632987521. The reversal of 632987520 is 25789236.

632987520 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 not an unprimeable number, because it can be changed into a prime (632987521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14720619 + ... + 14720661.

It is an arithmetic number, because the mean of its divisors is an integer number (4771305).

Almost surely, 2^632987520 is an apocalyptic number.

632987520 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 632987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221454080).

632987520 is an abundant number, since it is smaller than the sum of its proper divisors (1809920640).

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

632987520 is a wasteful number, since it uses less digits than its factorization.

632987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 632987520 is about 25159.2432318621. The cubic root of 632987520 is about 858.6148244016.

The spelling of 632987520 in words is "six hundred thirty-two million, nine hundred eighty-seven thousand, five hundred twenty".