11827632 has 40 divisors (see below), whose sum is σ = 30712320. Its totient is φ = 3922240.

The previous prime is 11827609. The next prime is 11827663. The reversal of 11827632 is 23672811.

11827632 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 Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11827632.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10957 + ... + 11987.

It is an arithmetic number, because the mean of its divisors is an integer number (767808).

Almost surely, 2^11827632 is an apocalyptic number.

11827632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11827632 is an abundant number, since it is smaller than the sum of its proper divisors (18884688).

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

11827632 is a wasteful number, since it uses less digits than its factorization.

11827632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11827632 is about 3439.1324487434. The cubic root of 11827632 is about 227.8413793616.

The spelling of 11827632 in words is "eleven million, eight hundred twenty-seven thousand, six hundred thirty-two".