18675216 has 120 divisors (see below), whose sum is σ = 60662784. Its totient is φ = 5253120.

The previous prime is 18675199. The next prime is 18675247. The reversal of 18675216 is 61257681.

18675216 is a nontrivial binomial coefficient, being equal to C(6112, 2).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97681 + ... + 97871.

Almost surely, 2^18675216 is an apocalyptic number.

18675216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18675216 is the 6111-st triangular number and also the 3056-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18675216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30331392).

18675216 is an abundant number, since it is smaller than the sum of its proper divisors (41987568).

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

18675216 is a wasteful number, since it uses less digits than its factorization.

18675216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 18675216 is about 4321.4830787590. The cubic root of 18675216 is about 265.3109723053.

The spelling of 18675216 in words is "eighteen million, six hundred seventy-five thousand, two hundred sixteen".