16617216 has 144 divisors (see below), whose sum is σ = 55335168. Its totient is φ = 4300800.

The previous prime is 16617197. The next prime is 16617217. The reversal of 16617216 is 61271661.

16617216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16617216² = 552263735181312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16617217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58996 + ... + 59276.

It is an arithmetic number, because the mean of its divisors is an integer number (384272).

Almost surely, 2^16617216 is an apocalyptic number.

16617216 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 16617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27667584).

16617216 is an abundant number, since it is smaller than the sum of its proper divisors (38717952).

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

16617216 is a wasteful number, since it uses less digits than its factorization.

16617216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 16617216 is about 4076.4219604943. The cubic root of 16617216 is about 255.1835971153.

Adding to 16617216 its reverse (61271661), we get a palindrome (77888877).

The spelling of 16617216 in words is "sixteen million, six hundred seventeen thousand, two hundred sixteen".