18753768 has 96 divisors (see below), whose sum is σ = 57526560. Its totient is φ = 5676480.

The previous prime is 18753733. The next prime is 18753797. The reversal of 18753768 is 86735781.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 20946 + ... + 21822.

It is an arithmetic number, because the mean of its divisors is an integer number (599235).

Almost surely, 2^18753768 is an apocalyptic number.

18753768 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 18753768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28763280).

18753768 is an abundant number, since it is smaller than the sum of its proper divisors (38772792).

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

18753768 is a wasteful number, since it uses less digits than its factorization.

18753768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 893 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 18753768 is about 4330.5620882283. The cubic root of 18753768 is about 265.6824370925.

The spelling of 18753768 in words is "eighteen million, seven hundred fifty-three thousand, seven hundred sixty-eight".