11536880 has 60 divisors (see below), whose sum is σ = 28551000. Its totient is φ = 4334592.

The previous prime is 11536879. The next prime is 11536883. The reversal of 11536880 is 8863511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11536883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22871 + ... + 23369.

It is an arithmetic number, because the mean of its divisors is an integer number (475850).

Almost surely, 2^11536880 is an apocalyptic number.

11536880 is a gapful number since it is divisible by the number (10) 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 11536880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275500).

11536880 is an abundant number, since it is smaller than the sum of its proper divisors (17014120).

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

11536880 is a wasteful number, since it uses less digits than its factorization.

11536880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 11536880 is about 3396.5982982979. The cubic root of 11536880 is about 225.9589034313.

The spelling of 11536880 in words is "eleven million, five hundred thirty-six thousand, eight hundred eighty".