18482688 has 160 divisors (see below), whose sum is σ = 62853120. Its totient is φ = 5253120.

The previous prime is 18482683. The next prime is 18482701. The reversal of 18482688 is 88628481.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (18482683) 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, 96673 + ... + 96863.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 2^18482688 is an apocalyptic number.

18482688 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 18482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

18482688 is an abundant number, since it is smaller than the sum of its proper divisors (44370432).

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

18482688 is an equidigital number, since it uses as much as digits as its factorization.

18482688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 18482688 is about 4299.1496833676. The cubic root of 18482688 is about 264.3960996188.

The spelling of 18482688 in words is "eighteen million, four hundred eighty-two thousand, six hundred eighty-eight".