86059512 has 288 divisors, whose sum is σ = 313822080. Its totient is φ = 20684160.

The previous prime is 86059511. The next prime is 86059513. The reversal of 86059512 is 21595068.

It is a happy number.

86059512 is a `hidden beast` number, since 8 + 60 + 595 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (86059511) and next prime (86059513).

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 (86059511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2001363 + ... + 2001405.

It is an arithmetic number, because the mean of its divisors is an integer number (1089660).

Almost surely, 2^86059512 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 86059512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156911040).

86059512 is an abundant number, since it is smaller than the sum of its proper divisors (227762568).

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

86059512 is a wasteful number, since it uses less digits than its factorization.

86059512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 86059512 is about 9276.8266125869. The cubic root of 86059512 is about 441.5022891487.

The spelling of 86059512 in words is "eighty-six million, fifty-nine thousand, five hundred twelve".