11689056 has 96 divisors (see below), whose sum is σ = 34715520. Its totient is φ = 3825792.

The previous prime is 11689049. The next prime is 11689063. The reversal of 11689056 is 65098611.

It is an interprime number because it is at equal distance from previous prime (11689049) and next prime (11689063).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11689056² = 273268060342272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11689056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71631 + ... + 71793.

It is an arithmetic number, because the mean of its divisors is an integer number (361620).

Almost surely, 2^11689056 is an apocalyptic number.

11689056 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 11689056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

11689056 is an abundant number, since it is smaller than the sum of its proper divisors (23026464).

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

11689056 is a wasteful number, since it uses less digits than its factorization.

11689056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11689056 is about 3418.9261471989. The cubic root of 11689056 is about 226.9480626647.

The spelling of 11689056 in words is "eleven million, six hundred eighty-nine thousand, fifty-six".