82415060 has 72 divisors (see below), whose sum is σ = 216848520. Its totient is φ = 26078976.

The previous prime is 82415059. The next prime is 82415083. The reversal of 82415060 is 6051428.

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 80532676 = 1372^2 + 8974^2 .

It is a super-2 number, since 2×82415060² = 13584484229607200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9506 + ... + 15974.

It is an arithmetic number, because the mean of its divisors is an integer number (3011785).

Almost surely, 2^82415060 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 82415060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108424260).

82415060 is an abundant number, since it is smaller than the sum of its proper divisors (134433460).

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

82415060 is a wasteful number, since it uses less digits than its factorization.

82415060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 82415060 is about 9078.2740650412. The cubic root of 82415060 is about 435.1799317290.

Adding to 82415060 its reverse (6051428), we get a palindrome (88466488).

The spelling of 82415060 in words is "eighty-two million, four hundred fifteen thousand, sixty".