18882640 has 60 divisors (see below), whose sum is σ = 51080436. Its totient is φ = 6472704.

The previous prime is 18882629. The next prime is 18882667. The reversal of 18882640 is 4628881.

It can be written as a sum of positive squares in 2 ways, for example, as 3952144 + 14930496 = 1988^2 + 3864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18882640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1512 + ... + 6328.

Almost surely, 2^18882640 is an apocalyptic number.

18882640 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 18882640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25540218).

18882640 is an abundant number, since it is smaller than the sum of its proper divisors (32197796).

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

18882640 is a wasteful number, since it uses less digits than its factorization.

18882640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 18882640 is about 4345.4159754850. The cubic root of 18882640 is about 266.2896199131.

It can be divided in two parts, 188 and 82640, that added together give a palindrome (82828).

The spelling of 18882640 in words is "eighteen million, eight hundred eighty-two thousand, six hundred forty".