11133960 has 128 divisors (see below), whose sum is σ = 35804160. Its totient is φ = 2764800.

The previous prime is 11133931. The next prime is 11133961. The reversal of 11133960 is 6933111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11133960.

It is not an unprimeable number, because it can be changed into a prime (11133961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152484 + ... + 152556.

It is an arithmetic number, because the mean of its divisors is an integer number (279720).

Almost surely, 2^11133960 is an apocalyptic number.

11133960 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 11133960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902080).

11133960 is an abundant number, since it is smaller than the sum of its proper divisors (24670200).

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

11133960 is a wasteful number, since it uses less digits than its factorization.

11133960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 11133960 is about 3336.7589064840. The cubic root of 11133960 is about 223.2971699570.

The spelling of 11133960 in words is "eleven million, one hundred thirty-three thousand, nine hundred sixty".