14940800 has 192 divisors, whose sum is σ = 45532800. Its totient is φ = 4730880.

The previous prime is 14940787. The next prime is 14940811. The reversal of 14940800 is 804941.

14940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14940800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515186 + ... + 515214.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 2^14940800 is an apocalyptic number.

14940800 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 14940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

14940800 is an abundant number, since it is smaller than the sum of its proper divisors (30592000).

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

14940800 is a wasteful number, since it uses less digits than its factorization.

14940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 14940800 is about 3865.3331033690. Note that the first 3 decimals coincide. The cubic root of 14940800 is about 246.2963357712.

The spelling of 14940800 in words is "fourteen million, nine hundred forty thousand, eight hundred".