13894800 has 60 divisors (see below), whose sum is σ = 44513520. Its totient is φ = 3704960.

The previous prime is 13894759. The next prime is 13894801. The reversal of 13894800 is 849831.

It is a tau number, because it is divible by the number of its divisors (60).

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 (13894801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4590 + ... + 6989.

It is an arithmetic number, because the mean of its divisors is an integer number (741892).

Almost surely, 2^13894800 is an apocalyptic number.

13894800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13894800 is an abundant number, since it is smaller than the sum of its proper divisors (30618720).

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

13894800 is a wasteful number, since it uses less digits than its factorization.

13894800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13894800 is about 3727.5729369122. The cubic root of 13894800 is about 240.4090247377.

The spelling of 13894800 in words is "thirteen million, eight hundred ninety-four thousand, eight hundred".