11553680 has 40 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 4583808.

The previous prime is 11553679. The next prime is 11553709. The reversal of 11553680 is 8635511.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10601 + ... + 11639.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 2^11553680 is an apocalyptic number.

11553680 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 11553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800).

11553680 is an abundant number, since it is smaller than the sum of its proper divisors (15527920).

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

11553680 is a wasteful number, since it uses less digits than its factorization.

11553680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 11553680 is about 3399.0704611702. The cubic root of 11553680 is about 226.0685306568.

The spelling of 11553680 in words is "eleven million, five hundred fifty-three thousand, six hundred eighty".