86528736 has 240 divisors, whose sum is σ = 307359360. Its totient is φ = 23328000.

The previous prime is 86528731. The next prime is 86528749. The reversal of 86528736 is 63782568.

It is a junction number, because it is equal to n+sod(n) for n = 86528691 and 86528700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86528731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344611 + ... + 344861.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 2^86528736 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 86528736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679680).

86528736 is an abundant number, since it is smaller than the sum of its proper divisors (220830624).

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

86528736 is a wasteful number, since it uses less digits than its factorization.

86528736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 86528736 is about 9302.0823475177. The cubic root of 86528736 is about 442.3032391521.

The spelling of 86528736 in words is "eighty-six million, five hundred twenty-eight thousand, seven hundred thirty-six".