82068360 has 128 divisors (see below), whose sum is σ = 272332800. Its totient is φ = 19618560.

The previous prime is 82068319. The next prime is 82068373. The reversal of 82068360 is 6386028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103887 + ... + 104673.

It is an arithmetic number, because the mean of its divisors is an integer number (2127600).

Almost surely, 2^82068360 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 82068360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136166400).

82068360 is an abundant number, since it is smaller than the sum of its proper divisors (190264440).

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

82068360 is a wasteful number, since it uses less digits than its factorization.

82068360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82068360 is about 9059.1589013550. The cubic root of 82068360 is about 434.5688421799.

It can be divided in two parts, 82068 and 360, that added together give a palindrome (82428).

The spelling of 82068360 in words is "eighty-two million, sixty-eight thousand, three hundred sixty".