82287660 has 144 divisors (see below), whose sum is σ = 288773856. Its totient is φ = 17353728.

The previous prime is 82287659. The next prime is 82287677. The reversal of 82287660 is 6678228.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37144 + ... + 39296.

It is an arithmetic number, because the mean of its divisors is an integer number (2005374).

Almost surely, 2^82287660 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 82287660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144386928).

82287660 is an abundant number, since it is smaller than the sum of its proper divisors (206486196).

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

82287660 is a wasteful number, since it uses less digits than its factorization.

82287660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 82287660 is about 9071.2545990067. The cubic root of 82287660 is about 434.9555774428.

The spelling of 82287660 in words is "eighty-two million, two hundred eighty-seven thousand, six hundred sixty".