82216260 has 144 divisors (see below), whose sum is σ = 297513216. Its totient is φ = 17968896.

The previous prime is 82216241. The next prime is 82216261. The reversal of 82216260 is 6261228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82216261) 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 47 ways as a sum of consecutive naturals, for example, 27562 + ... + 30398.

It is an arithmetic number, because the mean of its divisors is an integer number (2066064).

Almost surely, 2^82216260 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 82216260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148756608).

82216260 is an abundant number, since it is smaller than the sum of its proper divisors (215296956).

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

82216260 is a wasteful number, since it uses less digits than its factorization.

82216260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82216260 is about 9067.3182363916. The cubic root of 82216260 is about 434.8297391546.

Adding to 82216260 its reverse (6261228), we get a palindrome (88477488).

The spelling of 82216260 in words is "eighty-two million, two hundred sixteen thousand, two hundred sixty".