86657328 has 90 divisors (see below), whose sum is σ = 256109724. Its totient is φ = 27349056.

The previous prime is 86657323. The next prime is 86657359. The reversal of 86657328 is 82375668.

It is not an unprimeable number, because it can be changed into a prime (86657321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51151 + ... + 52817.

Almost surely, 2^86657328 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 86657328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128054862).

86657328 is an abundant number, since it is smaller than the sum of its proper divisors (169452396).

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

86657328 is a wasteful number, since it uses less digits than its factorization.

86657328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1691 counting only the distinct ones).

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

The square root of 86657328 is about 9308.9917821427. The cubic root of 86657328 is about 442.5222357877.

The spelling of 86657328 in words is "eighty-six million, six hundred fifty-seven thousand, three hundred twenty-eight".