86003808 has 96 divisors (see below), whose sum is σ = 257064192. Its totient is φ = 24921600.

The previous prime is 86003777. The next prime is 86003809. The reversal of 86003808 is 80830068.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86003809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22518 + ... + 26058.

It is an arithmetic number, because the mean of its divisors is an integer number (2677752).

Almost surely, 2^86003808 is an apocalyptic number.

86003808 is a gapful number since it is divisible by the number (88) 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 86003808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128532096).

86003808 is an abundant number, since it is smaller than the sum of its proper divisors (171060384).

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

86003808 is a wasteful number, since it uses less digits than its factorization.

86003808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 86003808 is about 9273.8238068232. The cubic root of 86003808 is about 441.4070110825.

The spelling of 86003808 in words is "eighty-six million, three thousand, eight hundred eight".