11916288 has 88 divisors (see below), whose sum is σ = 35372160. Its totient is φ = 3962880.

The previous prime is 11916271. The next prime is 11916313. The reversal of 11916288 is 88261911.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27433 + ... + 27863.

Almost surely, 2^11916288 is an apocalyptic number.

11916288 is a gapful number since it is divisible by the number (18) 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 11916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686080).

11916288 is an abundant number, since it is smaller than the sum of its proper divisors (23455872).

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

11916288 is an equidigital number, since it uses as much as digits as its factorization.

11916288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11916288 is about 3451.9976825021. The cubic root of 11916288 is about 228.4092373194.

The spelling of 11916288 in words is "eleven million, nine hundred sixteen thousand, two hundred eighty-eight".