632268 has 72 divisors (see below), whose sum is σ = 1977248. Its totient is φ = 165888.

The previous prime is 632267. The next prime is 632273. The reversal of 632268 is 862236.

632268 is a `hidden beast` number, since 632 + 26 + 8 = 666.

632268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (632267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3180 + ... + 3372.

2⁶³²²⁶⁸ 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 632268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988624).

632268 is an abundant number, since it is smaller than the sum of its proper divisors (1344980).

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

632268 is a wasteful number, since it uses less digits than its factorization.

632268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 218 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 632268 is about 795.1528155015. The cubic root of 632268 is about 85.8289370503.

It can be divided in two parts, 632 and 268, that added together give a square (900 = 30²).

The spelling of 632268 in words is "six hundred thirty-two thousand, two hundred sixty-eight".