86093712 has 160 divisors (see below), whose sum is σ = 275875200. Its totient is φ = 25546752.

The previous prime is 86093701. The next prime is 86093717. The reversal of 86093712 is 21739068.

86093712 is a `hidden beast` number, since 8 + 609 + 37 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (86093717) 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, 139228 + ... + 139844.

It is an arithmetic number, because the mean of its divisors is an integer number (1724220).

Almost surely, 2^86093712 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 86093712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137937600).

86093712 is an abundant number, since it is smaller than the sum of its proper divisors (189781488).

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

86093712 is a wasteful number, since it uses less digits than its factorization.

86093712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86093712 is about 9278.6697322407. The cubic root of 86093712 is about 441.5607656542.

It can be divided in two parts, 8609 and 3712, that added together give a palindrome (12321).

The spelling of 86093712 in words is "eighty-six million, ninety-three thousand, seven hundred twelve".