18975880 has 128 divisors (see below), whose sum is σ = 54639360. Its totient is φ = 5760000.

The previous prime is 18975871. The next prime is 18975881. The reversal of 18975880 is 8857981.

18975880 is a nontrivial binomial coefficient, being equal to C(6161, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 18975880.

It is not an unprimeable number, because it can be changed into a prime (18975881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187830 + ... + 187930.

It is an arithmetic number, because the mean of its divisors is an integer number (426870).

Almost surely, 2^18975880 is an apocalyptic number.

18975880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18975880 is the 6160-th triangular number.

18975880 is the 2054-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18975880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319680).

18975880 is an abundant number, since it is smaller than the sum of its proper divisors (35663480).

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

18975880 is a wasteful number, since it uses less digits than its factorization.

18975880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The square root of 18975880 is about 4356.1313111521. The cubic root of 18975880 is about 266.7272015350.

It can be divided in two parts, 1897 and 5880, that added together give a palindrome (7777).

The spelling of 18975880 in words is "eighteen million, nine hundred seventy-five thousand, eight hundred eighty".