86095872 has 144 divisors (see below), whose sum is σ = 259360920. Its totient is φ = 28532736.

The previous prime is 86095861. The next prime is 86095909. The reversal of 86095872 is 27859068.

86095872 is a `hidden beast` number, since 8 + 60 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497578 + ... + 497750.

Almost surely, 2^86095872 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 86095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129680460).

86095872 is an abundant number, since it is smaller than the sum of its proper divisors (173265048).

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

86095872 is an equidigital number, since it uses as much as digits as its factorization.

86095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86095872 is about 9278.7861275061. The cubic root of 86095872 is about 441.5644583872.

The spelling of 86095872 in words is "eighty-six million, ninety-five thousand, eight hundred seventy-two".