86360814 has 48 divisors (see below), whose sum is σ = 205545600. Its totient is φ = 26083728.

The previous prime is 86360803. The next prime is 86360819. The reversal of 86360814 is 41806368.

It is a happy number.

86360814 is a `hidden beast` number, since 8 + 636 + 0 + 8 + 14 = 666.

It is a super-3 number, since 3×86360814³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86360819) 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, 2377 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (4282200).

Almost surely, 2^86360814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86360814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102772800).

86360814 is an abundant number, since it is smaller than the sum of its proper divisors (119184786).

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

86360814 is a wasteful number, since it uses less digits than its factorization.

86360814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86360814 is about 9293.0519206556. The cubic root of 86360814 is about 442.0169352588.

The spelling of 86360814 in words is "eighty-six million, three hundred sixty thousand, eight hundred fourteen".