18872400 has 60 divisors (see below), whose sum is σ = 60458432. Its totient is φ = 5032320.

The previous prime is 18872317. The next prime is 18872407. The reversal of 18872400 is 427881.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18872407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6664 + ... + 9063.

Almost surely, 2^18872400 is an apocalyptic number.

18872400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18872400 is an abundant number, since it is smaller than the sum of its proper divisors (41586032).

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

18872400 is a wasteful number, since it uses less digits than its factorization.

18872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15748 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 18872400 is about 4344.2375625649. The cubic root of 18872400 is about 266.2414751839.

The spelling of 18872400 in words is "eighteen million, eight hundred seventy-two thousand, four hundred".