18132080 has 80 divisors (see below), whose sum is σ = 45235200. Its totient is φ = 6739200.

The previous prime is 18132071. The next prime is 18132089. The reversal of 18132080 is 8023181.

It is an interprime number because it is at equal distance from previous prime (18132071) and next prime (18132089).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18132089) 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, 120005 + ... + 120155.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 2^18132080 is an apocalyptic number.

18132080 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 18132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617600).

18132080 is an abundant number, since it is smaller than the sum of its proper divisors (27103120).

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

18132080 is a wasteful number, since it uses less digits than its factorization.

18132080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 18132080 is about 4258.1780141276. The cubic root of 18132080 is about 262.7135918408.

The spelling of 18132080 in words is "eighteen million, one hundred thirty-two thousand, eighty".