86242842 has 72 divisors (see below), whose sum is σ = 218769876. Its totient is φ = 24482304.

The previous prime is 86242831. The next prime is 86242859. The reversal of 86242842 is 24824268.

It is a happy number.

86242842 is a `hidden beast` number, since 8 + 624 + 28 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81920601 + 4322241 = 9051^2 + 2079^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86242797 and 86242806.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244138 + ... + 244490.

Almost surely, 2^86242842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86242842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109384938).

86242842 is an abundant number, since it is smaller than the sum of its proper divisors (132527034).

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

86242842 is a wasteful number, since it uses less digits than its factorization.

86242842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 86242842 is about 9286.7024287419. The cubic root of 86242842 is about 441.8155731603.

The spelling of 86242842 in words is "eighty-six million, two hundred forty-two thousand, eight hundred forty-two".