86358636 has 240 divisors, whose sum is σ = 290283840. Its totient is φ = 21772800.

The previous prime is 86358631. The next prime is 86358641. The reversal of 86358636 is 63685368.

86358636 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 8 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (86358631) and next prime (86358641).

It is a junction number, because it is equal to n+sod(n) for n = 86358591 and 86358600.

It is not an unprimeable number, because it can be changed into a prime (86358631) by changing a digit.

It is a Kaprekar number, because its square (7457814011780496) can be partitioned into two parts whose sum is 86358636.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 854986 + ... + 855086.

It is an arithmetic number, because the mean of its divisors is an integer number (1209516).

Almost surely, 2^86358636 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 86358636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145141920).

86358636 is an abundant number, since it is smaller than the sum of its proper divisors (203925204).

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

86358636 is a wasteful number, since it uses less digits than its factorization.

86358636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 86358636 is about 9292.9347355935. The cubic root of 86358636 is about 442.0132193722.

It can be divided in two parts, 8635 and 8636, that added together give a palindrome (17271).

The spelling of 86358636 in words is "eighty-six million, three hundred fifty-eight thousand, six hundred thirty-six".