18881688 has 64 divisors (see below), whose sum is σ = 54351360. Its totient is φ = 5354496.

The previous prime is 18881683. The next prime is 18881693. The reversal of 18881688 is 88618881.

It is an interprime number because it is at equal distance from previous prime (18881683) and next prime (18881693).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18881683) 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, 27720 + ... + 28392.

It is an arithmetic number, because the mean of its divisors is an integer number (849240).

Almost surely, 2^18881688 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 18881688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27175680).

18881688 is an abundant number, since it is smaller than the sum of its proper divisors (35469672).

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

18881688 is a wasteful number, since it uses less digits than its factorization.

18881688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its digits is 196608, while the sum is 48.

The square root of 18881688 is about 4345.3064333830. The cubic root of 18881688 is about 266.2851446918.

The spelling of 18881688 in words is "eighteen million, eight hundred eighty-one thousand, six hundred eighty-eight".