82580736 has 72 divisors (see below), whose sum is σ = 251199424. Its totient is φ = 23592960.

The previous prime is 82580699. The next prime is 82580749. The reversal of 82580736 is 63708528.

It is a junction number, because it is equal to n+sod(n) for n = 82580694 and 82580703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2305 + ... + 13056.

Almost surely, 2^82580736 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 82580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125599712).

82580736 is an abundant number, since it is smaller than the sum of its proper divisors (168618688).

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

82580736 is a wasteful number, since it uses less digits than its factorization.

82580736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15387 (or 15373 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 82580736 is about 9087.3943460158. The cubic root of 82580736 is about 435.4713453439.

The spelling of 82580736 in words is "eighty-two million, five hundred eighty thousand, seven hundred thirty-six".