85801920 has 112 divisors (see below), whose sum is σ = 274807680. Its totient is φ = 22680576.

The previous prime is 85801901. The next prime is 85801939. The reversal of 85801920 is 2910858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85801901) and next prime (85801939).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133119 + ... + 133761.

It is an arithmetic number, because the mean of its divisors is an integer number (2453640).

Almost surely, 2^85801920 is an apocalyptic number.

85801920 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 85801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403840).

85801920 is an abundant number, since it is smaller than the sum of its proper divisors (189005760).

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

85801920 is a wasteful number, since it uses less digits than its factorization.

85801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 85801920 is about 9262.9325809918. The cubic root of 85801920 is about 441.0613496439.

The spelling of 85801920 in words is "eighty-five million, eight hundred one thousand, nine hundred twenty".