13384008 has 128 divisors (see below), whose sum is σ = 41817600. Its totient is φ = 3931200.

The previous prime is 13383991. The next prime is 13384013. The reversal of 13384008 is 80048331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102103 + ... + 102233.

It is an arithmetic number, because the mean of its divisors is an integer number (326700).

Almost surely, 2^13384008 is an apocalyptic number.

13384008 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 13384008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908800).

13384008 is an abundant number, since it is smaller than the sum of its proper divisors (28433592).

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

13384008 is a wasteful number, since it uses less digits than its factorization.

13384008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13384008 is about 3658.4160506974. The cubic root of 13384008 is about 237.4262478292.

The spelling of 13384008 in words is "thirteen million, three hundred eighty-four thousand, eight".