14894800 has 60 divisors (see below), whose sum is σ = 37363680. Its totient is φ = 5695360.

The previous prime is 14894783. The next prime is 14894801. The reversal of 14894800 is 849841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14894801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8391 + ... + 10009.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 2^14894800 is an apocalyptic number.

14894800 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 14894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681840).

14894800 is an abundant number, since it is smaller than the sum of its proper divisors (22468880).

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

14894800 is a wasteful number, since it uses less digits than its factorization.

14894800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 14894800 is about 3859.3781882578. The cubic root of 14894800 is about 246.0433087431.

The spelling of 14894800 in words is "fourteen million, eight hundred ninety-four thousand, eight hundred".