85639104 has 84 divisors (see below), whose sum is σ = 247293384. Its totient is φ = 28334592.

The previous prime is 85639079. The next prime is 85639121. The reversal of 85639104 is 40193658.

85639104 is a `hidden beast` number, since 8 + 5 + 639 + 10 + 4 = 666.

It is a super-2 number, since 2×85639104² = 14668112267845632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89959 + ... + 90905.

Almost surely, 2^85639104 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 85639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123646692).

85639104 is an abundant number, since it is smaller than the sum of its proper divisors (161654280).

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

85639104 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 85639104 = (14986035)₁₃.

85639104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85639104 is about 9254.1398303678. The cubic root of 85639104 is about 440.7821899407.

The spelling of 85639104 in words is "eighty-five million, six hundred thirty-nine thousand, one hundred four".