11285136 has 80 divisors (see below), whose sum is σ = 32795520. Its totient is φ = 3715200.

The previous prime is 11285129. The next prime is 11285137. The reversal of 11285136 is 63158211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11285137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65146 + ... + 65318.

It is an arithmetic number, because the mean of its divisors is an integer number (409944).

Almost surely, 2^11285136 is an apocalyptic number.

11285136 is a gapful number since it is divisible by the number (16) 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 11285136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397760).

11285136 is an abundant number, since it is smaller than the sum of its proper divisors (21510384).

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

11285136 is a wasteful number, since it uses less digits than its factorization.

11285136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11285136 is about 3359.3356486067. The cubic root of 11285136 is about 224.3032669517.

The spelling of 11285136 in words is "eleven million, two hundred eighty-five thousand, one hundred thirty-six".