632838960 has 320 divisors, whose sum is σ = 2426511360. Its totient is φ = 150543360.

The previous prime is 632838953. The next prime is 632838967. The reversal of 632838960 is 69838236.

632838960 is a `hidden beast` number, since 632 + 8 + 3 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (632838953) and next prime (632838967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632838967) 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, 870117 + ... + 870843.

It is an arithmetic number, because the mean of its divisors is an integer number (7582848).

Almost surely, 2^632838960 is an apocalyptic number.

632838960 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 632838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213255680).

632838960 is an abundant number, since it is smaller than the sum of its proper divisors (1793672400).

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

632838960 is a wasteful number, since it uses less digits than its factorization.

632838960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 632838960 is about 25156.2906645634. The cubic root of 632838960 is about 858.5476478278.

The spelling of 632838960 in words is "six hundred thirty-two million, eight hundred thirty-eight thousand, nine hundred sixty".