86116628 has 48 divisors (see below), whose sum is σ = 174770064. Its totient is φ = 36771840.

The previous prime is 86116627. The next prime is 86116637. The reversal of 86116628 is 82661168.

It can be written as a sum of positive squares in 8 ways, for example, as 20539024 + 65577604 = 4532^2 + 8098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86116591 and 86116600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86116621) 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, 53126 + ... + 54722.

It is an arithmetic number, because the mean of its divisors is an integer number (3641043).

Almost surely, 2^86116628 is an apocalyptic number.

It is an amenable number.

86116628 is an abundant number, since it is smaller than the sum of its proper divisors (88653436).

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

86116628 is a wasteful number, since it uses less digits than its factorization.

86116628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1690 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 86116628 is about 9279.9045253709. The cubic root of 86116628 is about 441.5999396682.

The spelling of 86116628 in words is "eighty-six million, one hundred sixteen thousand, six hundred twenty-eight".