18882920 has 64 divisors (see below), whose sum is σ = 51425280. Its totient is φ = 6091776.

The previous prime is 18882907. The next prime is 18882923. The reversal of 18882920 is 2928881.

It is not an unprimeable number, because it can be changed into a prime (18882923) by changing a digit.

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, 2777 + ... + 6743.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^18882920 is an apocalyptic number.

18882920 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 18882920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

18882920 is an abundant number, since it is smaller than the sum of its proper divisors (32542360).

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

18882920 is a wasteful number, since it uses less digits than its factorization.

18882920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 18882920 is about 4345.4481932247. The cubic root of 18882920 is about 266.2909361260.

The spelling of 18882920 in words is "eighteen million, eight hundred eighty-two thousand, nine hundred twenty".