16131216 has 40 divisors (see below), whose sum is σ = 42184800. Its totient is φ = 5310976.

The previous prime is 16131169. The next prime is 16131217. The reversal of 16131216 is 61213161.

It is a super-2 number, since 2×16131216² = 520432259277312, which contains 22 as substring.

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

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 16131192 and 16131201.

It is not an unprimeable number, because it can be changed into a prime (16131217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1960 + ... + 6008.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^16131216 is an apocalyptic number.

16131216 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 16131216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

16131216 is an abundant number, since it is smaller than the sum of its proper divisors (26053584).

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

16131216 is a wasteful number, since it uses less digits than its factorization.

16131216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143 (or 4137 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 16131216 is about 4016.3685089892. The cubic root of 16131216 is about 252.6711762859.

Adding to 16131216 its reverse (61213161), we get a palindrome (77344377).

The spelling of 16131216 in words is "sixteen million, one hundred thirty-one thousand, two hundred sixteen".