18406416 has 80 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 5074944.

The previous prime is 18406379. The next prime is 18406471. The reversal of 18406416 is 61460481.

It is a super-2 number, since 2×18406416² = 677592299930112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8800 + ... + 10688.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^18406416 is an apocalyptic number.

18406416 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 18406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

18406416 is an abundant number, since it is smaller than the sum of its proper divisors (37839984).

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

18406416 is a wasteful number, since it uses less digits than its factorization.

18406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18406416 is about 4290.2699215784. The cubic root of 18406416 is about 264.0319061530.

Adding to 18406416 its reverse (61460481), we get a palindrome (79866897).

It can be divided in two parts, 1840 and 6416, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 18406416 in words is "eighteen million, four hundred six thousand, four hundred sixteen".