82436736 has 64 divisors (see below), whose sum is σ = 220711680. Its totient is φ = 27260928.

The previous prime is 82436707. The next prime is 82436741. The reversal of 82436736 is 63763428.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 82436694 and 82436703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51825 + ... + 53391.

It is an arithmetic number, because the mean of its divisors is an integer number (3448620).

Almost surely, 2^82436736 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 82436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110355840).

82436736 is an abundant number, since it is smaller than the sum of its proper divisors (138274944).

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

82436736 is a wasteful number, since it uses less digits than its factorization.

82436736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1709 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 82436736 is about 9079.4678258145. The cubic root of 82436736 is about 435.2180806358.

The spelling of 82436736 in words is "eighty-two million, four hundred thirty-six thousand, seven hundred thirty-six".