632960 has 64 divisors (see below), whose sum is σ = 1615680. Its totient is φ = 236544.

The previous prime is 632941. The next prime is 632971. The reversal of 632960 is 69236.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

632960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14699 + ... + 14741.

It is an arithmetic number, because the mean of its divisors is an integer number (25245).

2⁶³²⁹⁶⁰ 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 632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807840).

632960 is an abundant number, since it is smaller than the sum of its proper divisors (982720).

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

632960 is a wasteful number, since it uses less digits than its factorization.

632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 632960 is about 795.5878329889. The cubic root of 632960 is about 85.8602381069.

The spelling of 632960 in words is "six hundred thirty-two thousand, nine hundred sixty".