82546260 has 144 divisors (see below), whose sum is σ = 252959616. Its totient is φ = 20093184.

The previous prime is 82546253. The next prime is 82546291. The reversal of 82546260 is 6264528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801369 + ... + 801471.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 2^82546260 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 82546260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808).

82546260 is an abundant number, since it is smaller than the sum of its proper divisors (170413356).

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

82546260 is a wasteful number, since it uses less digits than its factorization.

82546260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 82546260 is about 9085.4972346042. The cubic root of 82546260 is about 435.4107363747.

The spelling of 82546260 in words is "eighty-two million, five hundred forty-six thousand, two hundred sixty".