85843968 has 112 divisors (see below), whose sum is σ = 262128000. Its totient is φ = 24477696.

The previous prime is 85843943. The next prime is 85843987. The reversal of 85843968 is 86934858.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 85843968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171783 + ... + 172281.

Almost surely, 2^85843968 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 85843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131064000).

85843968 is an abundant number, since it is smaller than the sum of its proper divisors (176284032).

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

85843968 is an equidigital number, since it uses as much as digits as its factorization.

85843968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 511 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 85843968 is about 9265.2019945601. The cubic root of 85843968 is about 441.1333865671.

The spelling of 85843968 in words is "eighty-five million, eight hundred forty-three thousand, nine hundred sixty-eight".