11591280 has 120 divisors (see below), whose sum is σ = 41260752. Its totient is φ = 2906112.

The previous prime is 11591269. The next prime is 11591299. The reversal of 11591280 is 8219511.

11591280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11767 + ... + 12713.

Almost surely, 2^11591280 is an apocalyptic number.

11591280 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 11591280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630376).

11591280 is an abundant number, since it is smaller than the sum of its proper divisors (29669472).

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

11591280 is a wasteful number, since it uses less digits than its factorization.

11591280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11591280 is about 3404.5968924382. The cubic root of 11591280 is about 226.3135023158.

The spelling of 11591280 in words is "eleven million, five hundred ninety-one thousand, two hundred eighty".