18681768 has 96 divisors (see below), whose sum is σ = 58556160. Its totient is φ = 5270400.

The previous prime is 18681757. The next prime is 18681791. The reversal of 18681768 is 86718681.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50721 + ... + 51087.

It is an arithmetic number, because the mean of its divisors is an integer number (609960).

Almost surely, 2^18681768 is an apocalyptic number.

18681768 is a gapful number since it is divisible by the number (18) 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 18681768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278080).

18681768 is an abundant number, since it is smaller than the sum of its proper divisors (39874392).

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

18681768 is a wasteful number, since it uses less digits than its factorization.

18681768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 18681768 is about 4322.2410853630. The cubic root of 18681768 is about 265.3419958508.

The spelling of 18681768 in words is "eighteen million, six hundred eighty-one thousand, seven hundred sixty-eight".