82011216 has 80 divisors (see below), whose sum is σ = 245809664. Its totient is φ = 23075712.

The previous prime is 82011211. The next prime is 82011229. The reversal of 82011216 is 61211028.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 82011192 and 82011201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82011211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20691 + ... + 24333.

Almost surely, 2^82011216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82011216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122904832).

82011216 is an abundant number, since it is smaller than the sum of its proper divisors (163798448).

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

82011216 is a wasteful number, since it uses less digits than its factorization.

82011216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 82011216 is about 9056.0044169601. The cubic root of 82011216 is about 434.4679556837.

The spelling of 82011216 in words is "eighty-two million, eleven thousand, two hundred sixteen".