86386401 has 12 divisors (see below), whose sum is σ = 132120612. Its totient is φ = 54203136.

The previous prime is 86386393. The next prime is 86386403. The reversal of 86386401 is 10468368.

It is a happy number.

86386401 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 640 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71571600 + 14814801 = 8460^2 + 3849^2 .

It is not a de Polignac number, because 86386401 - 2³ = 86386393 is a prime.

It is a super-2 number, since 2×86386401² = 14925220555465602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86386403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282156 + ... + 282461.

It is an arithmetic number, because the mean of its divisors is an integer number (11010051).

Almost surely, 2^86386401 is an apocalyptic number.

It is an amenable number.

86386401 is a deficient number, since it is larger than the sum of its proper divisors (45734211).

86386401 is a wasteful number, since it uses less digits than its factorization.

86386401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564640 (or 564637 counting only the distinct ones).

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

The square root of 86386401 is about 9294.4284923819. The cubic root of 86386401 is about 442.0605845715.

The spelling of 86386401 in words is "eighty-six million, three hundred eighty-six thousand, four hundred one".