14947800 has 96 divisors (see below), whose sum is σ = 52972800. Its totient is φ = 3415680.

The previous prime is 14947787. The next prime is 14947819. The reversal of 14947800 is 874941.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2421 + ... + 5979.

It is an arithmetic number, because the mean of its divisors is an integer number (551800).

Almost surely, 2^14947800 is an apocalyptic number.

14947800 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 14947800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486400).

14947800 is an abundant number, since it is smaller than the sum of its proper divisors (38025000).

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

14947800 is a wasteful number, since it uses less digits than its factorization.

14947800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14947800 is about 3866.2384820391. The cubic root of 14947800 is about 246.3347943359.

The spelling of 14947800 in words is "fourteen million, nine hundred forty-seven thousand, eight hundred".