11279760 has 80 divisors (see below), whose sum is σ = 35813184. Its totient is φ = 2935296.

The previous prime is 11279713. The next prime is 11279777. The reversal of 11279760 is 6797211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 9774 + ... + 10866.

Almost surely, 2^11279760 is an apocalyptic number.

11279760 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 11279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17906592).

11279760 is an abundant number, since it is smaller than the sum of its proper divisors (24533424).

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

11279760 is a wasteful number, since it uses less digits than its factorization.

11279760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 11279760 is about 3358.5353950792. The cubic root of 11279760 is about 224.2676435176.

The spelling of 11279760 in words is "eleven million, two hundred seventy-nine thousand, seven hundred sixty".