18187680 has 96 divisors (see below), whose sum is σ = 65487744. Its totient is φ = 4156416.

The previous prime is 18187651. The next prime is 18187681. The reversal of 18187680 is 8678181.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (18187681) 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, 654 + ... + 6066.

It is an arithmetic number, because the mean of its divisors is an integer number (682164).

Almost surely, 2^18187680 is an apocalyptic number.

18187680 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 18187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32743872).

18187680 is an abundant number, since it is smaller than the sum of its proper divisors (47300064).

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

18187680 is a wasteful number, since it uses less digits than its factorization.

18187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 18187680 is about 4264.7016308295. The cubic root of 18187680 is about 262.9818451423.

The spelling of 18187680 in words is "eighteen million, one hundred eighty-seven thousand, six hundred eighty".