86076536 has 128 divisors (see below), whose sum is σ = 215040000. Its totient is φ = 32006016.

The previous prime is 86076533. The next prime is 86076581. The reversal of 86076536 is 63567068.

It is a junction number, because it is equal to n+sod(n) for n = 86076493 and 86076502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86076533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677705 + ... + 677831.

It is an arithmetic number, because the mean of its divisors is an integer number (1680000).

Almost surely, 2^86076536 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 86076536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520000).

86076536 is an abundant number, since it is smaller than the sum of its proper divisors (128963464).

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

86076536 is a wasteful number, since it uses less digits than its factorization.

86076536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 86076536 is about 9277.7441223608. The cubic root of 86076536 is about 441.5313993898.

The spelling of 86076536 in words is "eighty-six million, seventy-six thousand, five hundred thirty-six".