86291712 has 216 divisors, whose sum is σ = 278261984. Its totient is φ = 25546752.

The previous prime is 86291707. The next prime is 86291717. The reversal of 86291712 is 21719268.

86291712 is a `hidden beast` number, since 8 + 629 + 17 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (86291707) and next prime (86291717).

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 (86291717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287903 + ... + 1287969.

Almost surely, 2^86291712 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 86291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139130992).

86291712 is an abundant number, since it is smaller than the sum of its proper divisors (191970272).

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

86291712 is a wasteful number, since it uses less digits than its factorization.

86291712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 86291712 is about 9289.3332376441. Note that the first 3 decimals coincide. The cubic root of 86291712 is about 441.8990098434.

The spelling of 86291712 in words is "eighty-six million, two hundred ninety-one thousand, seven hundred twelve".