86208960 has 112 divisors (see below), whose sum is σ = 277063200. Its totient is φ = 22708224.

The previous prime is 86208949. The next prime is 86208979. The reversal of 86208960 is 6980268.

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 15 ways as a sum of consecutive naturals, for example, 84936 + ... + 85944.

Almost surely, 2^86208960 is an apocalyptic number.

86208960 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 86208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138531600).

86208960 is an abundant number, since it is smaller than the sum of its proper divisors (190854240).

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

86208960 is a wasteful number, since it uses less digits than its factorization.

86208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 86208960 is about 9284.8780282780. The cubic root of 86208960 is about 441.7577072719.

The spelling of 86208960 in words is "eighty-six million, two hundred eight thousand, nine hundred sixty".