18768400 has 60 divisors (see below), whose sum is σ = 51540352. Its totient is φ = 6433920.

The previous prime is 18768397. The next prime is 18768403. The reversal of 18768400 is 486781.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18768397) and next prime (18768403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18768403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 6151.

Almost surely, 2^18768400 is an apocalyptic number.

18768400 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 18768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770176).

18768400 is an abundant number, since it is smaller than the sum of its proper divisors (32771952).

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

18768400 is a wasteful number, since it uses less digits than its factorization.

18768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6717 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 18768400 is about 4332.2511469212. The cubic root of 18768400 is about 265.7515157409.

The spelling of 18768400 in words is "eighteen million, seven hundred sixty-eight thousand, four hundred".