11980032 has 72 divisors (see below), whose sum is σ = 33603360. Its totient is φ = 3778560.

The previous prime is 11980027. The next prime is 11980039. The reversal of 11980032 is 23008911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11979984 and 11980011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11980039) 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, 14182 + ... + 15002.

Almost surely, 2^11980032 is an apocalyptic number.

11980032 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 11980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801680).

11980032 is an abundant number, since it is smaller than the sum of its proper divisors (21623328).

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

11980032 is an equidigital number, since it uses as much as digits as its factorization.

11980032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11980032 is about 3461.2182826282. The cubic root of 11980032 is about 228.8157910434.

Adding to 11980032 its reverse (23008911), we get a palindrome (34988943).

The spelling of 11980032 in words is "eleven million, nine hundred eighty thousand, thirty-two".