86128840 has 64 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 28508928.

The previous prime is 86128829. The next prime is 86128841. The reversal of 86128840 is 4882168.

It is a self number, because there is not a number n which added to its sum of digits gives 86128840.

It is not an unprimeable number, because it can be changed into a prime (86128841) 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, 2817 + ... + 13423.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^86128840 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 86128840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

86128840 is an abundant number, since it is smaller than the sum of its proper divisors (143003960).

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

86128840 is a wasteful number, since it uses less digits than its factorization.

86128840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10654 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 86128840 is about 9280.5624829533. The cubic root of 86128840 is about 441.6208127706.

It can be divided in two parts, 861288 and 40, that added together give a triangular number (861328 = T₁₃₁₂).

The spelling of 86128840 in words is "eighty-six million, one hundred twenty-eight thousand, eight hundred forty".