82610112 has 112 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 24296448.

The previous prime is 82610107. The next prime is 82610113. The reversal of 82610112 is 21101628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82610113) 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, 56689 + ... + 58127.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^82610112 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 82610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

82610112 is an abundant number, since it is smaller than the sum of its proper divisors (163180608).

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

82610112 is a wasteful number, since it uses less digits than its factorization.

82610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1480 counting only the distinct ones).

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

The square root of 82610112 is about 9089.0105072004. The cubic root of 82610112 is about 435.5229751803.

The spelling of 82610112 in words is "eighty-two million, six hundred ten thousand, one hundred twelve".