632632 has 64 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 224640.

The previous prime is 632629. The next prime is 632647. The reversal of 632632 is 236236.

632632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 6² + 3⁹ + 6⁶ + 2¹¹ + 3¹² + 2¹⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7969 + ... + 8047.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁶³²⁶³² 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 632632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

632632 is an abundant number, since it is smaller than the sum of its proper divisors (980168).

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

632632 is a wasteful number, since it uses less digits than its factorization.

632632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 632632 is about 795.3816693890. The cubic root of 632632 is about 85.8454046135.

Adding to 632632 its reverse (236236), we get a palindrome (868868).

The spelling of 632632 in words is "six hundred thirty-two thousand, six hundred thirty-two".