86765008 has 80 divisors (see below), whose sum is σ = 198630144. Its totient is φ = 36270080.

The previous prime is 86764969. The next prime is 86765009. The reversal of 86765008 is 80056768.

86765008 = 22² + 23² + ... + 638².

It is a super-2 number, since 2×86765008² = 15056333226480128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86765009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140316 + ... + 140932.

Almost surely, 2^86765008 is an apocalyptic number.

86765008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86765008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99315072).

86765008 is an abundant number, since it is smaller than the sum of its proper divisors (111865136).

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

86765008 is a wasteful number, since it uses less digits than its factorization.

86765008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 86765008 is about 9314.7736419089. The cubic root of 86765008 is about 442.7054519572.

The spelling of 86765008 in words is "eighty-six million, seven hundred sixty-five thousand, eight".