18972800 has 216 divisors, whose sum is σ = 59927805. Its totient is φ = 5913600.

The previous prime is 18972797. The next prime is 18972817. The reversal of 18972800 is 827981.

It is a happy number.

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 18593344 + 379456 = 4312^2 + 616^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3080.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1724795 + ... + 1724805.

Almost surely, 2^18972800 is an apocalyptic number.

18972800 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 18972800

18972800 is an abundant number, since it is smaller than the sum of its proper divisors (40955005).

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

18972800 is a wasteful number, since it uses less digits than its factorization.

18972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 18972800 is about 4355.7777721091. Note that the first 5 decimals coincide. The cubic root of 18972800 is about 266.7127698067.

The spelling of 18972800 in words is "eighteen million, nine hundred seventy-two thousand, eight hundred".