11505920 has 72 divisors (see below), whose sum is σ = 28145880. Its totient is φ = 4505600.

The previous prime is 11505919. The next prime is 11505943. The reversal of 11505920 is 2950511.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 9339136 = 1472^2 + 3056^2 .

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, 113870 + ... + 113970.

It is an arithmetic number, because the mean of its divisors is an integer number (390915).

Almost surely, 2^11505920 is an apocalyptic number.

11505920 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 11505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072940).

11505920 is an abundant number, since it is smaller than the sum of its proper divisors (16639960).

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

11505920 is an equidigital number, since it uses as much as digits as its factorization.

11505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 11505920 is about 3392.0377356392. The cubic root of 11505920 is about 225.7565970077.

The spelling of 11505920 in words is "eleven million, five hundred five thousand, nine hundred twenty".