82086064 has 40 divisors (see below), whose sum is σ = 172006848. Its totient is φ = 37800960.

The previous prime is 82086049. The next prime is 82086089. The reversal of 82086064 is 46068028.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 9574 + ... + 15994.

Almost surely, 2^82086064 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 82086064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86003424).

82086064 is an abundant number, since it is smaller than the sum of its proper divisors (89920784).

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

82086064 is a wasteful number, since it uses less digits than its factorization.

82086064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 82086064 is about 9060.1359813195. The cubic root of 82086064 is about 434.6000887067.

The spelling of 82086064 in words is "eighty-two million, eighty-six thousand, sixty-four".