18814400 has 84 divisors (see below), whose sum is σ = 50551080. Its totient is φ = 6835200.

The previous prime is 18814339. The next prime is 18814423. The reversal of 18814400 is 441881.

It is a self number, because there is not a number n which added to its sum of digits gives 18814400.

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 11 ways as a sum of consecutive naturals, for example, 17066 + ... + 18134.

Almost surely, 2^18814400 is an apocalyptic number.

18814400 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 18814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25275540).

18814400 is an abundant number, since it is smaller than the sum of its proper divisors (31736680).

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

18814400 is a wasteful number, since it uses less digits than its factorization.

18814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 18814400 is about 4337.5569160531. The cubic root of 18814400 is about 265.9684512303.

It can be divided in two parts, 18 and 814400, that added together give a palindrome (814418).

The spelling of 18814400 in words is "eighteen million, eight hundred fourteen thousand, four hundred".