82841616 has 240 divisors, whose sum is σ = 284356800. Its totient is φ = 23016960.

The previous prime is 82841609. The next prime is 82841617. The reversal of 82841616 is 61614828.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (82841617) 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 47 ways as a sum of consecutive naturals, for example, 555910 + ... + 556058.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^82841616 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 82841616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

82841616 is an abundant number, since it is smaller than the sum of its proper divisors (201515184).

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

82841616 is a wasteful number, since it uses less digits than its factorization.

82841616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82841616 is about 9101.7369770830. The cubic root of 82841616 is about 435.9294277381.

The spelling of 82841616 in words is "eighty-two million, eight hundred forty-one thousand, six hundred sixteen".