11731520 has 56 divisors (see below), whose sum is σ = 28440888. Its totient is φ = 4608000.

The previous prime is 11731519. The next prime is 11731537. The reversal of 11731520 is 2513711.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 11235904 = 704^2 + 3352^2 .

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 = 11731492 and 11731501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19220 + ... + 19820.

It is an arithmetic number, because the mean of its divisors is an integer number (507873).

Almost surely, 2^11731520 is an apocalyptic number.

11731520 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 11731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220444).

11731520 is an abundant number, since it is smaller than the sum of its proper divisors (16709368).

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

11731520 is an equidigital number, since it uses as much as digits as its factorization.

11731520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 11731520 is about 3425.1306544423. The cubic root of 11731520 is about 227.2225495043. Note that the first 3 decimals are identical.

The spelling of 11731520 in words is "eleven million, seven hundred thirty-one thousand, five hundred twenty".