85759608 has 32 divisors (see below), whose sum is σ = 233890560. Its totient is φ = 25987680.

The previous prime is 85759607. The next prime is 85759643. The reversal of 85759608 is 80695758.

It is a super-3 number, since 3×85759608³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85759601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162160 + ... + 162687.

It is an arithmetic number, because the mean of its divisors is an integer number (7309080).

Almost surely, 2^85759608 is an apocalyptic number.

85759608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85759608 is an abundant number, since it is smaller than the sum of its proper divisors (148130952).

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

85759608 is a wasteful number, since it uses less digits than its factorization.

85759608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324867 (or 324863 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 85759608 is about 9260.6483574316. The cubic root of 85759608 is about 440.9888366732.

The spelling of 85759608 in words is "eighty-five million, seven hundred fifty-nine thousand, six hundred eight".