85655136 has 144 divisors (see below), whose sum is σ = 265446720. Its totient is φ = 24111360.

The previous prime is 85655117. The next prime is 85655147. The reversal of 85655136 is 63155658.

It is a junction number, because it is equal to n+sod(n) for n = 85655094 and 85655103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616155 + ... + 616293.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 2^85655136 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 85655136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

85655136 is an abundant number, since it is smaller than the sum of its proper divisors (179791584).

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

85655136 is a wasteful number, since it uses less digits than its factorization.

85655136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 85655136 is about 9255.0059967566. The cubic root of 85655136 is about 440.8096936504.

The spelling of 85655136 in words is "eighty-five million, six hundred fifty-five thousand, one hundred thirty-six".