18616416 has 96 divisors (see below), whose sum is σ = 60173568. Its totient is φ = 4907520.

The previous prime is 18616391. The next prime is 18616417. The reversal of 18616416 is 61461681.

It is a tau number, because it is divible by the number of its divisors (96).

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 (18616417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7671 + ... + 9801.

It is an arithmetic number, because the mean of its divisors is an integer number (626808).

Almost surely, 2^18616416 is an apocalyptic number.

18616416 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 18616416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30086784).

18616416 is an abundant number, since it is smaller than the sum of its proper divisors (41557152).

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

18616416 is a wasteful number, since it uses less digits than its factorization.

18616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2156 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 18616416 is about 4314.6744952545. The cubic root of 18616416 is about 265.0322305642.

The spelling of 18616416 in words is "eighteen million, six hundred sixteen thousand, four hundred sixteen".