11531904 has 64 divisors (see below), whose sum is σ = 31212000. Its totient is φ = 3771392.

The previous prime is 11531903. The next prime is 11531909. The reversal of 11531904 is 40913511.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (11531903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22402 + ... + 22910.

Almost surely, 2^11531904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11531904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606000).

11531904 is an abundant number, since it is smaller than the sum of its proper divisors (19680096).

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

11531904 is an equidigital number, since it uses as much as digits as its factorization.

11531904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 11531904 is about 3395.8657217269. The cubic root of 11531904 is about 225.9264124634.

The spelling of 11531904 in words is "eleven million, five hundred thirty-one thousand, nine hundred four".