18766080 has 180 divisors, whose sum is σ = 67519452. Its totient is φ = 4976640.

The previous prime is 18766063. The next prime is 18766087. The reversal of 18766080 is 8066781.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 16257024 = 1584^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18766087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103590 + ... + 103770.

Almost surely, 2^18766080 is an apocalyptic number.

18766080 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 18766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33759726).

18766080 is an abundant number, since it is smaller than the sum of its proper divisors (48753372).

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

18766080 is an equidigital number, since it uses as much as digits as its factorization.

18766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 18766080 is about 4331.9833794695. The cubic root of 18766080 is about 265.7405652617.

The spelling of 18766080 in words is "eighteen million, seven hundred sixty-six thousand, eighty".