85891680 has 144 divisors (see below), whose sum is σ = 335016864. Its totient is φ = 19630080.

The previous prime is 85891661. The next prime is 85891693. The reversal of 85891680 is 8619858.

85891680 is a `hidden beast` number, since 8 + 589 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5820 + ... + 14340.

It is an arithmetic number, because the mean of its divisors is an integer number (2326506).

Almost surely, 2^85891680 is an apocalyptic number.

85891680 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 85891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167508432).

85891680 is an abundant number, since it is smaller than the sum of its proper divisors (249125184).

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

85891680 is a wasteful number, since it uses less digits than its factorization.

85891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 85891680 is about 9267.7764323488. The cubic root of 85891680 is about 441.2150986099.

The spelling of 85891680 in words is "eighty-five million, eight hundred ninety-one thousand, six hundred eighty".