82506060 has 384 divisors, whose sum is σ = 334172160. Its totient is φ = 16422912.

The previous prime is 82506031. The next prime is 82506071. The reversal of 82506060 is 6060528.

82506060 is a `hidden beast` number, since 8 + 2 + 50 + 606 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1130184 + ... + 1130256.

It is an arithmetic number, because the mean of its divisors is an integer number (870240).

Almost surely, 2^82506060 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 82506060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167086080).

82506060 is an abundant number, since it is smaller than the sum of its proper divisors (251666100).

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

82506060 is a wasteful number, since it uses less digits than its factorization.

82506060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82506060 is about 9083.2846481876. The cubic root of 82506060 is about 435.3400432717.

Adding to 82506060 its reverse (6060528), we get a palindrome (88566588).

It can be divided in two parts, 8250 and 6060, that multiplied together give a triangular number (49995000 = T₉₉₉₉).

The spelling of 82506060 in words is "eighty-two million, five hundred six thousand, sixty".