18106416 has 60 divisors (see below), whose sum is σ = 52560872. Its totient is φ = 6034176.

The previous prime is 18106351. The next prime is 18106423. The reversal of 18106416 is 61460181.

18106416 is a `hidden beast` number, since 1 + 8 + 10 + 641 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 18106416.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1560 + ... + 6216.

Almost surely, 2^18106416 is an apocalyptic number.

18106416 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 18106416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26280436).

18106416 is an abundant number, since it is smaller than the sum of its proper divisors (34454456).

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

18106416 is an equidigital number, since it uses as much as digits as its factorization.

18106416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18106416 is about 4255.1634516197. The cubic root of 18106416 is about 262.5895857493.

Adding to 18106416 its reverse (61460181), we get a palindrome (79566597).

The spelling of 18106416 in words is "eighteen million, one hundred six thousand, four hundred sixteen".