85237936 has 80 divisors (see below), whose sum is σ = 197376256. Its totient is φ = 34898688.

The previous prime is 85237921. The next prime is 85237961. The reversal of 85237936 is 63973258.

Its product of digits (272160) is a multiple of the sum of its prime divisors (420).

It is a junction number, because it is equal to n+sod(n) for n = 85237892 and 85237901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277495 + ... + 277801.

Almost surely, 2^85237936 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 85237936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98688128).

85237936 is an abundant number, since it is smaller than the sum of its proper divisors (112138320).

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

85237936 is a wasteful number, since it uses less digits than its factorization.

85237936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 85237936 is about 9232.4393309677. The cubic root of 85237936 is about 440.0928454209.

The spelling of 85237936 in words is "eighty-five million, two hundred thirty-seven thousand, nine hundred thirty-six".