82563560 has 64 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 29725696.

The previous prime is 82563541. The next prime is 82563617. The reversal of 82563560 is 6536528.

It is a self number, because there is not a number n which added to its sum of digits gives 82563560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13001 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2^82563560 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 82563560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

82563560 is an abundant number, since it is smaller than the sum of its proper divisors (122722840).

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

82563560 is a wasteful number, since it uses less digits than its factorization.

82563560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 82563560 is about 9086.4492514953. The cubic root of 82563560 is about 435.4411519646.

The spelling of 82563560 in words is "eighty-two million, five hundred sixty-three thousand, five hundred sixty".