18982080 has 224 divisors, whose sum is σ = 72542400. Its totient is φ = 4672512.

The previous prime is 18982043. The next prime is 18982087. The reversal of 18982080 is 8028981.

It is a super-2 number, since 2×18982080² = 720638722252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18982087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1460154 + ... + 1460166.

It is an arithmetic number, because the mean of its divisors is an integer number (323850).

Almost surely, 2^18982080 is an apocalyptic number.

18982080 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 18982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36271200).

18982080 is an abundant number, since it is smaller than the sum of its proper divisors (53560320).

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

18982080 is an equidigital number, since it uses as much as digits as its factorization.

18982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 18982080 is about 4356.8428936559. The cubic root of 18982080 is about 266.7562476816.

The spelling of 18982080 in words is "eighteen million, nine hundred eighty-two thousand, eighty".