85759120 has 40 divisors (see below), whose sum is σ = 199953720. Its totient is φ = 34206720.

The previous prime is 85759097. The next prime is 85759171. The reversal of 85759120 is 2195758.

It can be written as a sum of positive squares in 4 ways, for example, as 39137536 + 46621584 = 6256^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85759120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31410 + ... + 34030.

It is an arithmetic number, because the mean of its divisors is an integer number (4998843).

Almost surely, 2^85759120 is an apocalyptic number.

85759120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85759120 is an abundant number, since it is smaller than the sum of its proper divisors (114194600).

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

85759120 is a wasteful number, since it uses less digits than its factorization.

85759120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 85759120 is about 9260.6220093469. The cubic root of 85759120 is about 440.9880002151.

The spelling of 85759120 in words is "eighty-five million, seven hundred fifty-nine thousand, one hundred twenty".