18870880 has 144 divisors (see below), whose sum is σ = 54295920. Its totient is φ = 6171648.

The previous prime is 18870871. The next prime is 18870883. The reversal of 18870880 is 8807881.

It is a super-3 number, since 3×18870880³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18870883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227319 + ... + 227401.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^18870880 is an apocalyptic number.

18870880 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 18870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147960).

18870880 is an abundant number, since it is smaller than the sum of its proper divisors (35425040).

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

18870880 is a wasteful number, since it uses less digits than its factorization.

18870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The square root of 18870880 is about 4344.0626146500. The cubic root of 18870880 is about 266.2343272163.

The spelling of 18870880 in words is "eighteen million, eight hundred seventy thousand, eight hundred eighty".