86528980 has 48 divisors (see below), whose sum is σ = 193744656. Its totient is φ = 32348160.

The previous prime is 86528971. The next prime is 86528989. The reversal of 86528980 is 8982568.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86528971) and next prime (86528989).

It can be written as a sum of positive squares in 8 ways, for example, as 1077444 + 85451536 = 1038^2 + 9244^2 .

It is a super-3 number, since 3×86528980³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86528980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86528989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52570 + ... + 54190.

It is an arithmetic number, because the mean of its divisors is an integer number (4036347).

Almost surely, 2^86528980 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 86528980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96872328).

86528980 is an abundant number, since it is smaller than the sum of its proper divisors (107215676).

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

86528980 is a wasteful number, since it uses less digits than its factorization.

86528980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 86528980 is about 9302.0954628514. The cubic root of 86528980 is about 442.3036548980.

The spelling of 86528980 in words is "eighty-six million, five hundred twenty-eight thousand, nine hundred eighty".