85073136 has 80 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 26929408.

The previous prime is 85073129. The next prime is 85073141. The reversal of 85073136 is 63137058.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85073097 and 85073106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 290206 + ... + 290498.

Almost surely, 2^85073136 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 85073136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

85073136 is an abundant number, since it is smaller than the sum of its proper divisors (145912080).

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

85073136 is a wasteful number, since it uses less digits than its factorization.

85073136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 85073136 is about 9223.5099609639. The cubic root of 85073136 is about 439.8090355888.

The spelling of 85073136 in words is "eighty-five million, seventy-three thousand, one hundred thirty-six".