11289960 has 96 divisors (see below), whose sum is σ = 40042080. Its totient is φ = 2736000.

The previous prime is 11289959. The next prime is 11289979. The reversal of 11289960 is 6998211.

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

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, 2535 + ... + 5385.

It is an arithmetic number, because the mean of its divisors is an integer number (417105).

Almost surely, 2^11289960 is an apocalyptic number.

11289960 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 11289960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021040).

11289960 is an abundant number, since it is smaller than the sum of its proper divisors (28752120).

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

11289960 is a wasteful number, since it uses less digits than its factorization.

11289960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11289960 is about 3360.0535710015. The cubic root of 11289960 is about 224.3352229930.

The spelling of 11289960 in words is "eleven million, two hundred eighty-nine thousand, nine hundred sixty".