82586560 has 168 divisors, whose sum is σ = 239755680. Its totient is φ = 26966016.

The previous prime is 82586557. The next prime is 82586591. The reversal of 82586560 is 6568528.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 360526 + ... + 360754.

Almost surely, 2^82586560 is an apocalyptic number.

82586560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119877840).

82586560 is an abundant number, since it is smaller than the sum of its proper divisors (157169120).

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

82586560 is a wasteful number, since it uses less digits than its factorization.

82586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 82586560 is about 9087.7147842568. The cubic root of 82586560 is about 435.4815822975.

The spelling of 82586560 in words is "eighty-two million, five hundred eighty-six thousand, five hundred sixty".