86284008 has 64 divisors (see below), whose sum is σ = 245548800. Its totient is φ = 28056960.

The previous prime is 86284001. The next prime is 86284013. The reversal of 86284008 is 80048268.

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

It is not an unprimeable number, because it can be changed into a prime (86284001) 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, 3985 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (3836700).

Almost surely, 2^86284008 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 86284008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774400).

86284008 is an abundant number, since it is smaller than the sum of its proper divisors (159264792).

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

86284008 is a wasteful number, since it uses less digits than its factorization.

86284008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9789 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86284008 is about 9288.9185592296. The cubic root of 86284008 is about 441.8858587492.

The spelling of 86284008 in words is "eighty-six million, two hundred eighty-four thousand, eight".