18889416 has 192 divisors, whose sum is σ = 66729600. Its totient is φ = 4821120.

The previous prime is 18889393. The next prime is 18889433. The reversal of 18889416 is 61498881.

18889416 = 31³ + 32³ + ... + 93³.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609321 + ... + 609351.

It is an arithmetic number, because the mean of its divisors is an integer number (347550).

Almost surely, 2^18889416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18889416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33364800).

18889416 is an abundant number, since it is smaller than the sum of its proper divisors (47840184).

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

18889416 is a wasteful number, since it uses less digits than its factorization.

18889416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 56 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 18889416 is about 4346.1955777438. The cubic root of 18889416 is about 266.3214686142.

The spelling of 18889416 in words is "eighteen million, eight hundred eighty-nine thousand, four hundred sixteen".