11662632 has 48 divisors (see below), whose sum is σ = 32329440. Its totient is φ = 3796128.

The previous prime is 11662631. The next prime is 11662639. The reversal of 11662632 is 23626611.

11662632 is a `hidden beast` number, since 1 + 1 + 6 + 626 + 32 = 666.

11662632 is digitally balanced in base 2 and base 4, because in such bases 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 junction number, because it is equal to n+sod(n) for n = 11662596 and 11662605.

It is not an unprimeable number, because it can be changed into a prime (11662631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1213 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (673530).

Almost surely, 2^11662632 is an apocalyptic number.

11662632 is a gapful number since it is divisible by the number (12) 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 11662632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16164720).

11662632 is an abundant number, since it is smaller than the sum of its proper divisors (20666808).

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

11662632 is a wasteful number, since it uses less digits than its factorization.

11662632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3815 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 11662632 is about 3415.0595895240. The cubic root of 11662632 is about 226.7769225233.

The spelling of 11662632 in words is "eleven million, six hundred sixty-two thousand, six hundred thirty-two".