82142060 has 144 divisors (see below), whose sum is σ = 233986368. Its totient is φ = 23569920.

The previous prime is 82142059. The next prime is 82142069. The reversal of 82142060 is 6024128.

It is not an unprimeable number, because it can be changed into a prime (82142069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220034 + ... + 220406.

Almost surely, 2^82142060 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 82142060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116993184).

82142060 is an abundant number, since it is smaller than the sum of its proper divisors (151844308).

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

82142060 is a wasteful number, since it uses less digits than its factorization.

82142060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 82142060 is about 9063.2256950823. The cubic root of 82142060 is about 434.6988888107.

Adding to 82142060 its reverse (6024128), we get a palindrome (88166188).

The spelling of 82142060 in words is "eighty-two million, one hundred forty-two thousand, sixty".