18686880 has 144 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 4713984.

The previous prime is 18686873. The next prime is 18686909. The reversal of 18686880 is 8868681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 27019 + ... + 27701.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 2^18686880 is an apocalyptic number.

18686880 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 18686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

18686880 is an abundant number, since it is smaller than the sum of its proper divisors (48536640).

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

18686880 is a wasteful number, since it uses less digits than its factorization.

18686880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 18686880 is about 4322.8324048013. The cubic root of 18686880 is about 265.3661959976.

The spelling of 18686880 in words is "eighteen million, six hundred eighty-six thousand, eight hundred eighty".