85891968 has 128 divisors (see below), whose sum is σ = 262548000. Its totient is φ = 27611136.

The previous prime is 85891957. The next prime is 85891987. The reversal of 85891968 is 86919858.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (54) 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 (54).

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, 99796 + ... + 100652.

Almost surely, 2^85891968 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 85891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131274000).

85891968 is an abundant number, since it is smaller than the sum of its proper divisors (176656032).

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

85891968 is a wasteful number, since it uses less digits than its factorization.

85891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 891 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 85891968 is about 9267.7919700434. The cubic root of 85891968 is about 441.2155917497.

The spelling of 85891968 in words is "eighty-five million, eight hundred ninety-one thousand, nine hundred sixty-eight".