14364800 has 72 divisors (see below), whose sum is σ = 36023085. Its totient is φ = 5660160.

The previous prime is 14364761. The next prime is 14364803. The reversal of 14364800 is 846341.

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 2 ways, for example, as 14077504 + 287296 = 3752^2 + 536^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2680.

It is a self number, because there is not a number n which added to its sum of digits gives 14364800.

It is not an unprimeable number, because it can be changed into a prime (14364803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 214367 + ... + 214433.

Almost surely, 2^14364800 is an apocalyptic number.

14364800 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 14364800

14364800 is an abundant number, since it is smaller than the sum of its proper divisors (21658285).

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

14364800 is an frugal number, since it uses more digits than its factorization.

14364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 14364800 is about 3790.0923471599. The cubic root of 14364800 is about 243.0896833469.

The spelling of 14364800 in words is "fourteen million, three hundred sixty-four thousand, eight hundred".