85813920 has 144 divisors (see below), whose sum is σ = 305690112. Its totient is φ = 21880320.

The previous prime is 85813891. The next prime is 85813927. The reversal of 85813920 is 2931858.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85813927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31825 + ... + 34415.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 2^85813920 is an apocalyptic number.

85813920 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 85813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056).

85813920 is an abundant number, since it is smaller than the sum of its proper divisors (219876192).

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

85813920 is a wasteful number, since it uses less digits than its factorization.

85813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85813920 is about 9263.5803013738. The cubic root of 85813920 is about 441.0819105260.

The spelling of 85813920 in words is "eighty-five million, eight hundred thirteen thousand, nine hundred twenty".