11638632 has 32 divisors (see below), whose sum is σ = 29203200. Its totient is φ = 3865344.

The previous prime is 11638631. The next prime is 11638639. The reversal of 11638632 is 23683611.

11638632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11638632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7369 + ... + 8807.

It is an arithmetic number, because the mean of its divisors is an integer number (912600).

Almost surely, 2^11638632 is an apocalyptic number.

11638632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11638632 is an abundant number, since it is smaller than the sum of its proper divisors (17564568).

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

11638632 is a wasteful number, since it uses less digits than its factorization.

11638632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1781 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 11638632 is about 3411.5439320050. The cubic root of 11638632 is about 226.6212577241.

The spelling of 11638632 in words is "eleven million, six hundred thirty-eight thousand, six hundred thirty-two".