82015960 has 64 divisors (see below), whose sum is σ = 200692800. Its totient is φ = 29984256.

The previous prime is 82015943. The next prime is 82015961. The reversal of 82015960 is 6951028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82015961) 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, 55957 + ... + 57403.

It is an arithmetic number, because the mean of its divisors is an integer number (3135825).

Almost surely, 2^82015960 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 82015960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100346400).

82015960 is an abundant number, since it is smaller than the sum of its proper divisors (118676840).

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

82015960 is a wasteful number, since it uses less digits than its factorization.

82015960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 82015960 is about 9056.2663388396. The cubic root of 82015960 is about 434.4763328966.

Adding to 82015960 its reverse (6951028), we get a palindrome (88966988).

It can be divided in two parts, 8201 and 5960, that added together give a square (14161 = 119²).

The spelling of 82015960 in words is "eighty-two million, fifteen thousand, nine hundred sixty".