11079936 has 144 divisors (see below), whose sum is σ = 37609600. Its totient is φ = 3151872.

The previous prime is 11079923. The next prime is 11079947. The reversal of 11079936 is 63997011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×11079936³ (a number of 22 digits) contains 333 as substring.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 11079936.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48270 + ... + 48498.

Almost surely, 2^11079936 is an apocalyptic number.

11079936 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 11079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18804800).

11079936 is an abundant number, since it is smaller than the sum of its proper divisors (26529664).

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

11079936 is an equidigital number, since it uses as much as digits as its factorization.

11079936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 11079936 is about 3328.6537819365. The cubic root of 11079936 is about 222.9354247392.

The spelling of 11079936 in words is "eleven million, seventy-nine thousand, nine hundred thirty-six".