13388208 has 80 divisors (see below), whose sum is σ = 36830976. Its totient is φ = 4181760.

The previous prime is 13388201. The next prime is 13388261. The reversal of 13388208 is 80288331.

It is a super-2 number, since 2×13388208² = 358488226902528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13388201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73878 + ... + 74058.

Almost surely, 2^13388208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13388208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415488).

13388208 is an abundant number, since it is smaller than the sum of its proper divisors (23442768).

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

13388208 is a wasteful number, since it uses less digits than its factorization.

13388208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 13388208 is about 3658.9900245833. The cubic root of 13388208 is about 237.4510805985.

The spelling of 13388208 in words is "thirteen million, three hundred eighty-eight thousand, two hundred eight".