14796800 has 108 divisors (see below), whose sum is σ = 38972115. Its totient is φ = 5570560.

The previous prime is 14796799. The next prime is 14796823. The reversal of 14796800 is 869741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 9634816 + 5161984 = 3104^2 + 2272^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 870392 + ... + 870408.

Almost surely, 2^14796800 is an apocalyptic number.

14796800 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 14796800

14796800 is an abundant number, since it is smaller than the sum of its proper divisors (24175315).

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

14796800 is an equidigital number, since it uses as much as digits as its factorization.

14796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 14796800 is about 3846.6608896548. The cubic root of 14796800 is about 245.5025088130.

The spelling of 14796800 in words is "fourteen million, seven hundred ninety-six thousand, eight hundred".