86186268 has 144 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 24058944.

The previous prime is 86186263. The next prime is 86186333. The reversal of 86186268 is 86268168.

86186268 is a `hidden beast` number, since 8 + 6 + 18 + 626 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86186263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360493 + ... + 360731.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^86186268 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 86186268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

86186268 is an abundant number, since it is smaller than the sum of its proper divisors (177990372).

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

86186268 is a wasteful number, since it uses less digits than its factorization.

86186268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 86186268 is about 9283.6559608809. The cubic root of 86186268 is about 441.7189439169.

The spelling of 86186268 in words is "eighty-six million, one hundred eighty-six thousand, two hundred sixty-eight".