11579904 has 120 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 3299328.

The previous prime is 11579881. The next prime is 11579921. The reversal of 11579904 is 40997511.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 32077 + ... + 32435.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^11579904 is an apocalyptic number.

11579904 is a gapful number since it is divisible by the number (14) 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 11579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

11579904 is an abundant number, since it is smaller than the sum of its proper divisors (26721216).

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

11579904 is an equidigital number, since it uses as much as digits as its factorization.

11579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 11579904 is about 3402.9257999551. The cubic root of 11579904 is about 226.2394413232.

The spelling of 11579904 in words is "eleven million, five hundred seventy-nine thousand, nine hundred four".