86095842 has 48 divisors (see below), whose sum is σ = 202436640. Its totient is φ = 24337152.

The previous prime is 86095829. The next prime is 86095853. The reversal of 86095842 is 24859068.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 86095794 and 86095803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27009 + ... + 30027.

It is an arithmetic number, because the mean of its divisors is an integer number (4217430).

Almost surely, 2^86095842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86095842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101218320).

86095842 is an abundant number, since it is smaller than the sum of its proper divisors (116340798).

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

86095842 is a wasteful number, since it uses less digits than its factorization.

86095842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 86095842 is about 9278.7845109152. The cubic root of 86095842 is about 441.5644070997.

The spelling of 86095842 in words is "eighty-six million, ninety-five thousand, eight hundred forty-two".