86095120 has 40 divisors (see below), whose sum is σ = 200909016. Its totient is φ = 34311168.

The previous prime is 86095111. The next prime is 86095169. The reversal of 86095120 is 2159068.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 76877824 = 3036^2 + 8768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 21604 + ... + 25276.

Almost surely, 2^86095120 is an apocalyptic number.

86095120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86095120 is an abundant number, since it is smaller than the sum of its proper divisors (114813896).

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

86095120 is a wasteful number, since it uses less digits than its factorization.

86095120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 86095120 is about 9278.7456048757. The cubic root of 86095120 is about 441.5631727760.

The spelling of 86095120 in words is "eighty-six million, ninety-five thousand, one hundred twenty".