11579856 has 80 divisors (see below), whose sum is σ = 33105024. Its totient is φ = 3469312.

The previous prime is 11579851. The next prime is 11579863. The reversal of 11579856 is 65897511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11579851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18460 + ... + 19076.

Almost surely, 2^11579856 is an apocalyptic number.

11579856 is a gapful number since it is divisible by the number (16) 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 11579856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16552512).

11579856 is an abundant number, since it is smaller than the sum of its proper divisors (21525168).

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

11579856 is a wasteful number, since it uses less digits than its factorization.

11579856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its digits is 75600, while the sum is 42.

The square root of 11579856 is about 3402.9187471934. The cubic root of 11579856 is about 226.2391287269.

The spelling of 11579856 in words is "eleven million, five hundred seventy-nine thousand, eight hundred fifty-six".