11826288 has 60 divisors (see below), whose sum is σ = 35051328. Its totient is φ = 3709440.

The previous prime is 11826277. The next prime is 11826293. The reversal of 11826288 is 88262811.

It is a super-2 number, since 2×11826288² = 279722175717888, which contains 22 as substring.

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.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33 + ... + 4863.

Almost surely, 2^11826288 is an apocalyptic number.

11826288 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 11826288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17525664).

11826288 is an abundant number, since it is smaller than the sum of its proper divisors (23225040).

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

11826288 is a wasteful number, since it uses less digits than its factorization.

11826288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4853 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 11826288 is about 3438.9370450766. The cubic root of 11826288 is about 227.8327489947.

The spelling of 11826288 in words is "eleven million, eight hundred twenty-six thousand, two hundred eighty-eight".