13662288 has 60 divisors (see below), whose sum is σ = 40491828. Its totient is φ = 4285440.

The previous prime is 13662283. The next prime is 13662293. The reversal of 13662288 is 88226631.

It is an interprime number because it is at equal distance from previous prime (13662283) and next prime (13662293).

It can be written as a sum of positive squares in 2 ways, for example, as 7551504 + 6110784 = 2748^2 + 2472^2 .

It is a super-2 number, since 2×13662288² = 373316226789888, 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 not an unprimeable number, because it can be changed into a prime (13662281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343 + ... + 5238.

Almost surely, 2^13662288 is an apocalyptic number.

13662288 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 13662288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245914).

13662288 is an abundant number, since it is smaller than the sum of its proper divisors (26829540).

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

13662288 is a wasteful number, since it uses less digits than its factorization.

13662288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5603 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 13662288 is about 3696.2532380777. The cubic root of 13662288 is about 239.0604936651.

The spelling of 13662288 in words is "thirteen million, six hundred sixty-two thousand, two hundred eighty-eight".