86434208 has 48 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 36589056.

The previous prime is 86434199. The next prime is 86434217. The reversal of 86434208 is 80243468.

It is a Cunningham number, because it is equal to 9297²-1.

It is an interprime number because it is at equal distance from previous prime (86434199) and next prime (86434217).

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 7 ways as a sum of consecutive naturals, for example, 16268 + ... + 20916.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^86434208 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 86434208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

86434208 is an abundant number, since it is smaller than the sum of its proper divisors (110428192).

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

86434208 is a wasteful number, since it uses less digits than its factorization.

86434208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 86434208 is about 9296.9999462192. Note that the first 4 decimals coincide. The cubic root of 86434208 is about 442.1421162818.

The spelling of 86434208 in words is "eighty-six million, four hundred thirty-four thousand, two hundred eight".