18268416 has 90 divisors (see below), whose sum is σ = 54534942. Its totient is φ = 6082560.

The previous prime is 18268391. The next prime is 18268423. The reversal of 18268416 is 61486281.

18268416 is a `hidden beast` number, since 182 + 68 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 5308416 = 3600^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 9 ways as a sum of consecutive naturals, for example, 20296 + ... + 21176.

Almost surely, 2^18268416 is an apocalyptic number.

18268416 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 18268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27267471).

18268416 is an abundant number, since it is smaller than the sum of its proper divisors (36266526).

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

18268416 is an frugal number, since it uses more digits than its factorization.

18268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 886 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18268416 is about 4274.1567589409. The cubic root of 18268416 is about 263.3704005219.

Subtracting from 18268416 its product of digits (18432), we obtain a square (18249984 = 4272²).

The spelling of 18268416 in words is "eighteen million, two hundred sixty-eight thousand, four hundred sixteen".