85689408 has 112 divisors (see below), whose sum is σ = 262046720. Its totient is φ = 24205824.

The previous prime is 85689407. The next prime is 85689419. The reversal of 85689408 is 80498658.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85689407) 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, 138123 + ... + 138741.

Almost surely, 2^85689408 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 85689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131023360).

85689408 is an abundant number, since it is smaller than the sum of its proper divisors (176357312).

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

85689408 is a wasteful number, since it uses less digits than its factorization.

85689408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 85689408 is about 9256.8573500946. The cubic root of 85689408 is about 440.8684774979.

The spelling of 85689408 in words is "eighty-five million, six hundred eighty-nine thousand, four hundred eight".