11136960 has 112 divisors (see below), whose sum is σ = 39319200. Its totient is φ = 2967552.

The previous prime is 11136959. The next prime is 11136971. The reversal of 11136960 is 6963111.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7996 + ... + 9284.

Almost surely, 2^11136960 is an apocalyptic number.

11136960 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 11136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19659600).

11136960 is an abundant number, since it is smaller than the sum of its proper divisors (28182240).

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

11136960 is a wasteful number, since it uses less digits than its factorization.

11136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11136960 is about 3337.2084142289. The cubic root of 11136960 is about 223.3172236592.

Subtracting from 11136960 its reverse (6963111), we obtain a square (4173849 = 2043²).

The spelling of 11136960 in words is "eleven million, one hundred thirty-six thousand, nine hundred sixty".