13857408 has 96 divisors (see below), whose sum is σ = 41689440. Its totient is φ = 4409856.

The previous prime is 13857407. The next prime is 13857427. The reversal of 13857408 is 80475831.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (13857401) 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, 26235 + ... + 26757.

It is an arithmetic number, because the mean of its divisors is an integer number (434265).

Almost surely, 2^13857408 is an apocalyptic number.

13857408 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 13857408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20844720).

13857408 is an abundant number, since it is smaller than the sum of its proper divisors (27832032).

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

13857408 is a wasteful number, since it uses less digits than its factorization.

13857408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13857408 is about 3722.5539619997. The cubic root of 13857408 is about 240.1931778014.

The spelling of 13857408 in words is "thirteen million, eight hundred fifty-seven thousand, four hundred eight".