14012800 has 96 divisors (see below), whose sum is σ = 36046800. Its totient is φ = 5376000.

The previous prime is 14012753. The next prime is 14012813. The reversal of 14012800 is 821041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 92725 + ... + 92875.

Almost surely, 2^14012800 is an apocalyptic number.

14012800 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 14012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023400).

14012800 is an abundant number, since it is smaller than the sum of its proper divisors (22034000).

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

14012800 is a wasteful number, since it uses less digits than its factorization.

14012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 14012800 is about 3743.3674679358. The cubic root of 14012800 is about 241.0876559982.

Adding to 14012800 its reverse (821041), we get a palindrome (14833841).

The spelling of 14012800 in words is "fourteen million, twelve thousand, eight hundred".