86577528 has 64 divisors (see below), whose sum is σ = 235728000. Its totient is φ = 26393472.

The previous prime is 86577523. The next prime is 86577559. The reversal of 86577528 is 82577568.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86577523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9951 + ... + 16497.

It is an arithmetic number, because the mean of its divisors is an integer number (3683250).

Almost surely, 2^86577528 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 86577528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117864000).

86577528 is an abundant number, since it is smaller than the sum of its proper divisors (149150472).

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

86577528 is a wasteful number, since it uses less digits than its factorization.

86577528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6600 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The square root of 86577528 is about 9304.7046164830. The cubic root of 86577528 is about 442.3863591481.

The spelling of 86577528 in words is "eighty-six million, five hundred seventy-seven thousand, five hundred twenty-eight".