11565120 has 112 divisors (see below), whose sum is σ = 41989248. Its totient is φ = 2641920.

The previous prime is 11565101. The next prime is 11565131. The reversal of 11565120 is 2156511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11565120² = 267504001228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 5860 + ... + 7580.

It is an arithmetic number, because the mean of its divisors is an integer number (374904).

Almost surely, 2^11565120 is an apocalyptic number.

11565120 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 11565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994624).

11565120 is an abundant number, since it is smaller than the sum of its proper divisors (30424128).

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

11565120 is a wasteful number, since it uses less digits than its factorization.

11565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 11565120 is about 3400.7528578243. The cubic root of 11565120 is about 226.1431207692.

The spelling of 11565120 in words is "eleven million, five hundred sixty-five thousand, one hundred twenty".