86081536 has 64 divisors (see below), whose sum is σ = 179303760. Its totient is φ = 41287680.

The previous prime is 86081519. The next prime is 86081543. The reversal of 86081536 is 63518068.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 86081495 and 86081504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1212381 + ... + 1212451.

Almost surely, 2^86081536 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 86081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89651880).

86081536 is an abundant number, since it is smaller than the sum of its proper divisors (93222224).

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

86081536 is an frugal number, since it uses more digits than its factorization.

86081536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 86081536 is about 9278.0135805031. The cubic root of 86081536 is about 441.5399484259.

The spelling of 86081536 in words is "eighty-six million, eighty-one thousand, five hundred thirty-six".