86208000 has 160 divisors (see below), whose sum is σ = 287258400. Its totient is φ = 22937600.

The previous prime is 86207999. The next prime is 86208043. The reversal of 86208000 is 80268.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191776 + ... + 192224.

It is an arithmetic number, because the mean of its divisors is an integer number (1795365).

Almost surely, 2^86208000 is an apocalyptic number.

86208000 is a gapful number since it is divisible by the number (80) 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 86208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143629200).

86208000 is an abundant number, since it is smaller than the sum of its proper divisors (201050400).

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

86208000 is an equidigital number, since it uses as much as digits as its factorization.

86208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 86208000 is about 9284.8263311707. The cubic root of 86208000 is about 441.7560675004.

Adding to 86208000 its reverse (80268), we get a palindrome (86288268).

The spelling of 86208000 in words is "eighty-six million, two hundred eight thousand".