82566036 has 72 divisors (see below), whose sum is σ = 240915584. Its totient is φ = 23353920.

The previous prime is 82566031. The next prime is 82566041. The reversal of 82566036 is 63066528.

It is an interprime number because it is at equal distance from previous prime (82566031) and next prime (82566041).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82566031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24366 + ... + 27546.

Almost surely, 2^82566036 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 82566036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120457792).

82566036 is an abundant number, since it is smaller than the sum of its proper divisors (158349548).

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

82566036 is a wasteful number, since it uses less digits than its factorization.

82566036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 82566036 is about 9086.5854973142. The cubic root of 82566036 is about 435.4455047384.

The spelling of 82566036 in words is "eighty-two million, five hundred sixty-six thousand, thirty-six".