13188096 has 132 divisors (see below), whose sum is σ = 40235832. Its totient is φ = 4313088.

The previous prime is 13188067. The next prime is 13188121. The reversal of 13188096 is 69088131.

It is a super-2 number, since 2×13188096² = 347851752210432, 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 13188096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248806 + ... + 248858.

Almost surely, 2^13188096 is an apocalyptic number.

13188096 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 13188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20117916).

13188096 is an abundant number, since it is smaller than the sum of its proper divisors (27047736).

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

13188096 is an frugal number, since it uses more digits than its factorization.

13188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13188096 is about 3631.5418213205. The cubic root of 13188096 is about 236.2620855495.

The spelling of 13188096 in words is "thirteen million, one hundred eighty-eight thousand, ninety-six".