86191020 has 192 divisors, whose sum is σ = 292118400. Its totient is φ = 21012480.

The previous prime is 86190989. The next prime is 86191031. The reversal of 86191020 is 2019168.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376266 + ... + 376494.

It is an arithmetic number, because the mean of its divisors is an integer number (1521450).

Almost surely, 2^86191020 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 86191020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

86191020 is an abundant number, since it is smaller than the sum of its proper divisors (205927380).

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

86191020 is a wasteful number, since it uses less digits than its factorization.

86191020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 86191020 is about 9283.9118910080. The cubic root of 86191020 is about 441.7270620308.

The spelling of 86191020 in words is "eighty-six million, one hundred ninety-one thousand, twenty".