11515520 has 64 divisors (see below), whose sum is σ = 29008800. Its totient is φ = 4359168.

The previous prime is 11515507. The next prime is 11515541. The reversal of 11515520 is 2551511.

It is a happy number.

11515520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11515492 and 11515501.

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, 11687 + ... + 12633.

Almost surely, 2^11515520 is an apocalyptic number.

11515520 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 11515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504400).

11515520 is an abundant number, since it is smaller than the sum of its proper divisors (17493280).

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

11515520 is an equidigital number, since it uses as much as digits as its factorization.

11515520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The square root of 11515520 is about 3393.4525191904. The cubic root of 11515520 is about 225.8193664590.

The spelling of 11515520 in words is "eleven million, five hundred fifteen thousand, five hundred twenty".