86006844 has 288 divisors, whose sum is σ = 301916160. Its totient is φ = 19958400.

The previous prime is 86006831. The next prime is 86006857. The reversal of 86006844 is 44860068.

86006844 is a `hidden beast` number, since 8 + 600 + 6 + 8 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (86006831) and next prime (86006857).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86006799 and 86006808.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1211329 + ... + 1211399.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^86006844 is an apocalyptic number.

86006844 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86006844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

86006844 is an abundant number, since it is smaller than the sum of its proper divisors (215909316).

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

86006844 is a wasteful number, since it uses less digits than its factorization.

86006844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86006844 is about 9273.9874919044. The cubic root of 86006844 is about 441.4122050227.

The spelling of 86006844 in words is "eighty-six million, six thousand, eight hundred forty-four".