11531680 has 24 divisors (see below), whose sum is σ = 27243972. Its totient is φ = 4612608.

The previous prime is 11531669. The next prime is 11531683. The reversal of 11531680 is 8613511.

It can be written as a sum of positive squares in 2 ways, for example, as 10995856 + 535824 = 3316^2 + 732^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (11531683) 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, 35877 + ... + 36196.

Almost surely, 2^11531680 is an apocalyptic number.

11531680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11531680 is an abundant number, since it is smaller than the sum of its proper divisors (15712292).

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

11531680 is an equidigital number, since it uses as much as digits as its factorization.

11531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72088 (or 72080 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 11531680 is about 3395.8327402862. The cubic root of 11531680 is about 225.9249496277.

The spelling of 11531680 in words is "eleven million, five hundred thirty-one thousand, six hundred eighty".