86958528 has 56 divisors (see below), whose sum is σ = 233354880. Its totient is φ = 28573440.

The previous prime is 86958527. The next prime is 86958577. The reversal of 86958528 is 82585968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86958523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10443 + ... + 16821.

Almost surely, 2^86958528 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 86958528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116677440).

86958528 is an abundant number, since it is smaller than the sum of its proper divisors (146396352).

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

86958528 is a wasteful number, since it uses less digits than its factorization.

86958528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6465 (or 6455 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 51.

The square root of 86958528 is about 9325.1556555373. The cubic root of 86958528 is about 443.0343431601.

The spelling of 86958528 in words is "eighty-six million, nine hundred fifty-eight thousand, five hundred twenty-eight".