18768040 has 64 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 7189248.

The previous prime is 18768019. The next prime is 18768047. The reversal of 18768040 is 4086781.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18767987 and 18768005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18768047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125886 + ... + 126034.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^18768040 is an apocalyptic number.

18768040 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 18768040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

18768040 is an abundant number, since it is smaller than the sum of its proper divisors (25295960).

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

18768040 is a wasteful number, since it uses less digits than its factorization.

18768040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

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

The square root of 18768040 is about 4332.2095978842. The cubic root of 18768040 is about 265.7498165878.

The spelling of 18768040 in words is "eighteen million, seven hundred sixty-eight thousand, forty".