11555760 has 80 divisors (see below), whose sum is σ = 36292320. Its totient is φ = 3041280.

The previous prime is 11555737. The next prime is 11555771. The reversal of 11555760 is 6755511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21090 + ... + 21630.

It is an arithmetic number, because the mean of its divisors is an integer number (453654).

Almost surely, 2^11555760 is an apocalyptic number.

11555760 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 11555760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18146160).

11555760 is an abundant number, since it is smaller than the sum of its proper divisors (24736560).

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

11555760 is a wasteful number, since it uses less digits than its factorization.

11555760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 11555760 is about 3399.3764134029. The cubic root of 11555760 is about 226.0820961566.

The spelling of 11555760 in words is "eleven million, five hundred fifty-five thousand, seven hundred sixty".