86406138 has 192 divisors, whose sum is σ = 254741760. Its totient is φ = 20514816.

The previous prime is 86406127. The next prime is 86406139. The reversal of 86406138 is 83160468.

It is a happy number.

86406138 is a `hidden beast` number, since 8 + 640 + 6 + 1 + 3 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (86406139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 807481 + ... + 807587.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^86406138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86406138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

86406138 is an abundant number, since it is smaller than the sum of its proper divisors (168335622).

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

86406138 is a wasteful number, since it uses less digits than its factorization.

86406138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

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

The square root of 86406138 is about 9295.4901968643. The cubic root of 86406138 is about 442.0942483785.

The spelling of 86406138 in words is "eighty-six million, four hundred six thousand, one hundred thirty-eight".