86095008 has 96 divisors (see below), whose sum is σ = 252745920. Its totient is φ = 28512000.

The previous prime is 86094979. The next prime is 86095033. The reversal of 86095008 is 80059068.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216666 + ... + 217062.

It is an arithmetic number, because the mean of its divisors is an integer number (2632770).

Almost surely, 2^86095008 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 86095008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126372960).

86095008 is an abundant number, since it is smaller than the sum of its proper divisors (166650912).

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

86095008 is a wasteful number, since it uses less digits than its factorization.

86095008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 86095008 is about 9278.7395695752. The cubic root of 86095008 is about 441.5629813014.

The spelling of 86095008 in words is "eighty-six million, ninety-five thousand, eight".