18786768 has 320 divisors, whose sum is σ = 71995392. Its totient is φ = 4055040.

The previous prime is 18786767. The next prime is 18786773. The reversal of 18786768 is 86768781.

It is a Harshad number since it is a multiple of its sum of digits (51).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18786768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18786767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816805 + ... + 816827.

Almost surely, 2^18786768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18786768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35997696).

18786768 is an abundant number, since it is smaller than the sum of its proper divisors (53208624).

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

18786768 is a wasteful number, since it uses less digits than its factorization.

18786768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The square root of 18786768 is about 4334.3705425356. The cubic root of 18786768 is about 265.8381814895.

It can be divided in two parts, 1878 and 6768, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 18786768 in words is "eighteen million, seven hundred eighty-six thousand, seven hundred sixty-eight".