11791520 has 48 divisors (see below), whose sum is σ = 30005640. Its totient is φ = 4353024.

The previous prime is 11791517. The next prime is 11791541. The reversal of 11791520 is 2519711.

11791520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5779216 + 6012304 = 2404^2 + 2452^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11791520.

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, 755 + ... + 4914.

Almost surely, 2^11791520 is an apocalyptic number.

11791520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11791520 is an abundant number, since it is smaller than the sum of its proper divisors (18214120).

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

11791520 is a wasteful number, since it uses less digits than its factorization.

11791520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 11791520 is about 3433.8782739055. The cubic root of 11791520 is about 227.6092620111.

The spelling of 11791520 in words is "eleven million, seven hundred ninety-one thousand, five hundred twenty".