11079120 has 160 divisors (see below), whose sum is σ = 38247552. Its totient is φ = 2635776.

The previous prime is 11079119. The next prime is 11079149. The reversal of 11079120 is 2197011.

It is a super-3 number, since 3×11079120³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165327 + ... + 165393.

Almost surely, 2^11079120 is an apocalyptic number.

11079120 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 11079120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776).

11079120 is an abundant number, since it is smaller than the sum of its proper divisors (27168432).

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

11079120 is a wasteful number, since it uses less digits than its factorization.

11079120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 11079120 is about 3328.5312076049. The cubic root of 11079120 is about 222.9299517902.

The spelling of 11079120 in words is "eleven million, seventy-nine thousand, one hundred twenty".