85805440 has 128 divisors (see below), whose sum is σ = 237945600. Its totient is φ = 28981248.

The previous prime is 85805389. The next prime is 85805449. The reversal of 85805440 is 4450858.

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

It is a junction number, because it is equal to n+sod(n) for n = 85805396 and 85805405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85805449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479271 + ... + 479449.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^85805440 is an apocalyptic number.

85805440 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 85805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118972800).

85805440 is an abundant number, since it is smaller than the sum of its proper divisors (152140160).

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

85805440 is a wasteful number, since it uses less digits than its factorization.

85805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 85805440 is about 9263.1225836648. The cubic root of 85805440 is about 441.0673810347.

The spelling of 85805440 in words is "eighty-five million, eight hundred five thousand, four hundred forty".