13914800 has 60 divisors (see below), whose sum is σ = 34250040. Its totient is φ = 5429760.

The previous prime is 13914787. The next prime is 13914811. The reversal of 13914800 is 841931.

It is a self number, because there is not a number n which added to its sum of digits gives 13914800.

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, 16796 + ... + 17604.

It is an arithmetic number, because the mean of its divisors is an integer number (570834).

Almost surely, 2^13914800 is an apocalyptic number.

13914800 is a gapful number since it is divisible by the number (10) 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 13914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125020).

13914800 is an abundant number, since it is smaller than the sum of its proper divisors (20335240).

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

13914800 is a wasteful number, since it uses less digits than its factorization.

13914800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 13914800 is about 3730.2546829942. The cubic root of 13914800 is about 240.5243166789.

The spelling of 13914800 in words is "thirteen million, nine hundred fourteen thousand, eight hundred".