18846816 has 48 divisors (see below), whose sum is σ = 49868784. Its totient is φ = 6232064.

The previous prime is 18846811. The next prime is 18846827. The reversal of 18846816 is 61864881.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18846811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12436 + ... + 13868.

It is an arithmetic number, because the mean of its divisors is an integer number (1038933).

Almost surely, 2^18846816 is an apocalyptic number.

18846816 is a gapful number since it is divisible by the number (16) 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 18846816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934392).

18846816 is an abundant number, since it is smaller than the sum of its proper divisors (31021968).

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

18846816 is a wasteful number, since it uses less digits than its factorization.

18846816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1575 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 18846816 is about 4341.2919735950. The cubic root of 18846816 is about 266.1211124286.

The spelling of 18846816 in words is "eighteen million, eight hundred forty-six thousand, eight hundred sixteen".