11993832 has 80 divisors (see below), whose sum is σ = 34151040. Its totient is φ = 3932064.

The previous prime is 11993801. The next prime is 11993843. The reversal of 11993832 is 23839911.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (11664) is a multiple of the sum of its prime factors (324).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53673 + ... + 53895.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 2^11993832 is an apocalyptic number.

11993832 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 11993832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520).

11993832 is an abundant number, since it is smaller than the sum of its proper divisors (22157208).

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

11993832 is a wasteful number, since it uses less digits than its factorization.

11993832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 11993832 is about 3463.2112265930. The cubic root of 11993832 is about 228.9036162467.

The spelling of 11993832 in words is "eleven million, nine hundred ninety-three thousand, eight hundred thirty-two".