85665360 has 160 divisors (see below), whose sum is σ = 297873792. Its totient is φ = 20183040.

The previous prime is 85665353. The next prime is 85665361. The reversal of 85665360 is 6356658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85665361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97242 + ... + 98118.

Almost surely, 2^85665360 is an apocalyptic number.

85665360 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 85665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936896).

85665360 is an abundant number, since it is smaller than the sum of its proper divisors (212208432).

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

85665360 is a wasteful number, since it uses less digits than its factorization.

85665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 85665360 is about 9255.5583299983. The cubic root of 85665360 is about 440.8272316491.

The spelling of 85665360 in words is "eighty-five million, six hundred sixty-five thousand, three hundred sixty".