11532880 has 20 divisors (see below), whose sum is σ = 26814132. Its totient is φ = 4613120.

The previous prime is 11532877. The next prime is 11532889. The reversal of 11532880 is 8823511.

It can be written as a sum of positive squares in 2 ways, for example, as 4177936 + 7354944 = 2044^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72001 + ... + 72160.

Almost surely, 2^11532880 is an apocalyptic number.

11532880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11532880 is an abundant number, since it is smaller than the sum of its proper divisors (15281252).

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

11532880 is a wasteful number, since it uses less digits than its factorization.

11532880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144174 (or 144168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 11532880 is about 3396.0094228373. The cubic root of 11532880 is about 225.9327860266.

The spelling of 11532880 in words is "eleven million, five hundred thirty-two thousand, eight hundred eighty".