18986688 has 168 divisors, whose sum is σ = 66092832. Its totient is φ = 5087232.

The previous prime is 18986651. The next prime is 18986689. The reversal of 18986688 is 88668981.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (18986689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68406 + ... + 68682.

Almost surely, 2^18986688 is an apocalyptic number.

18986688 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 18986688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33046416).

18986688 is an abundant number, since it is smaller than the sum of its proper divisors (47106144).

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

18986688 is a wasteful number, since it uses less digits than its factorization.

18986688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 18986688 is about 4357.3716848577. The cubic root of 18986688 is about 266.7778314303. Note that the first 3 decimals are identical.

The spelling of 18986688 in words is "eighteen million, nine hundred eighty-six thousand, six hundred eighty-eight".