86168376 has 192 divisors, whose sum is σ = 288100800. Its totient is φ = 22708224.

The previous prime is 86168371. The next prime is 86168377. The reversal of 86168376 is 67386168.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86168371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762496 + ... + 762608.

It is an arithmetic number, because the mean of its divisors is an integer number (1500525).

Almost surely, 2^86168376 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 86168376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144050400).

86168376 is an abundant number, since it is smaller than the sum of its proper divisors (201932424).

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

86168376 is a wasteful number, since it uses less digits than its factorization.

86168376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 231 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 86168376 is about 9282.6922818760. The cubic root of 86168376 is about 441.6883753105.

The spelling of 86168376 in words is "eighty-six million, one hundred sixty-eight thousand, three hundred seventy-six".