18882080 has 96 divisors (see below), whose sum is σ = 53270784. Its totient is φ = 6183936.

The previous prime is 18882049. The next prime is 18882113. The reversal of 18882080 is 8028881.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 18882080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25394 + ... + 26126.

It is an arithmetic number, because the mean of its divisors is an integer number (554904).

Almost surely, 2^18882080 is an apocalyptic number.

18882080 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 18882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26635392).

18882080 is an abundant number, since it is smaller than the sum of its proper divisors (34388704).

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

18882080 is a wasteful number, since it uses less digits than its factorization.

18882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 18882080 is about 4345.3515392889. The cubic root of 18882080 is about 266.2869874482.

The spelling of 18882080 in words is "eighteen million, eight hundred eighty-two thousand, eighty".