82008936 has 80 divisors (see below), whose sum is σ = 231042240. Its totient is φ = 27177120.

The previous prime is 82008917. The next prime is 82008943. The reversal of 82008936 is 63980028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82008936.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175375 + ... + 175841.

It is an arithmetic number, because the mean of its divisors is an integer number (2888028).

Almost surely, 2^82008936 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 82008936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115521120).

82008936 is an abundant number, since it is smaller than the sum of its proper divisors (149033304).

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

82008936 is a wasteful number, since it uses less digits than its factorization.

82008936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82008936 is about 9055.8785327543. The cubic root of 82008936 is about 434.4639294209.

It can be divided in two parts, 82008 and 936, that added together give a square (82944 = 288²).

The spelling of 82008936 in words is "eighty-two million, eight thousand, nine hundred thirty-six".