85917960 has 96 divisors (see below), whose sum is σ = 286093080. Its totient is φ = 22348800.

The previous prime is 85917947. The next prime is 85917961. The reversal of 85917960 is 6971958.

It can be written as a sum of positive squares in 4 ways, for example, as 63393444 + 22524516 = 7962^2 + 4746^2 .

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

It is not an unprimeable number, because it can be changed into a prime (85917961) 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, 11850 + ... + 17670.

Almost surely, 2^85917960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85917960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143046540).

85917960 is an abundant number, since it is smaller than the sum of its proper divisors (200175120).

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

85917960 is a wasteful number, since it uses less digits than its factorization.

85917960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 85917960 is about 9269.1941397297. The cubic root of 85917960 is about 441.2600930743.

The spelling of 85917960 in words is "eighty-five million, nine hundred seventeen thousand, nine hundred sixty".