18210816 has 168 divisors, whose sum is σ = 59634120. Its totient is φ = 5308416.

The previous prime is 18210749. The next prime is 18210817. The reversal of 18210816 is 61801281.

18210816 = 29² + 30² + ... + 379².

It is a self number, because there is not a number n which added to its sum of digits gives 18210816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18210817) 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 11 ways as a sum of consecutive naturals, for example, 958455 + ... + 958473.

It is an arithmetic number, because the mean of its divisors is an integer number (354965).

Almost surely, 2^18210816 is an apocalyptic number.

18210816 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 18210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29817060).

18210816 is an abundant number, since it is smaller than the sum of its proper divisors (41423304).

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

18210816 is a wasteful number, since it uses less digits than its factorization.

18210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 18210816 is about 4267.4132680114. The cubic root of 18210816 is about 263.0933083212.

The spelling of 18210816 in words is "eighteen million, two hundred ten thousand, eight hundred sixteen".