13893408 has 72 divisors (see below), whose sum is σ = 41605200. Its totient is φ = 4385664.

The previous prime is 13893391. The next prime is 13893413. The reversal of 13893408 is 80439831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4203 + ... + 6741.

It is an arithmetic number, because the mean of its divisors is an integer number (577850).

Almost surely, 2^13893408 is an apocalyptic number.

13893408 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 13893408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802600).

13893408 is an abundant number, since it is smaller than the sum of its proper divisors (27711792).

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

13893408 is a wasteful number, since it uses less digits than its factorization.

13893408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13893408 is about 3727.3862155671. The cubic root of 13893408 is about 240.4009963017.

The spelling of 13893408 in words is "thirteen million, eight hundred ninety-three thousand, four hundred eight".