86128380 has 96 divisors (see below), whose sum is σ = 288590400. Its totient is φ = 21199104.

The previous prime is 86128363. The next prime is 86128381. The reversal of 86128380 is 8382168.

86128380 is a `hidden beast` number, since 8 + 612 + 8 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86128381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886 + ... + 13154.

It is an arithmetic number, because the mean of its divisors is an integer number (3006150).

Almost surely, 2^86128380 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 86128380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144295200).

86128380 is an abundant number, since it is smaller than the sum of its proper divisors (202462020).

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

86128380 is a wasteful number, since it uses less digits than its factorization.

86128380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 86128380 is about 9280.5376999396. The cubic root of 86128380 is about 441.6200265611.

It can be divided in two parts, 861 and 28380, that added together give a square (29241 = 171²).

The spelling of 86128380 in words is "eighty-six million, one hundred twenty-eight thousand, three hundred eighty".