85937236 has 48 divisors (see below), whose sum is σ = 192592512. Its totient is φ = 32572800.

The previous prime is 85937219. The next prime is 85937251. The reversal of 85937236 is 63273958.

It is a junction number, because it is equal to n+sod(n) for n = 85937192 and 85937201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7626 + ... + 15166.

It is an arithmetic number, because the mean of its divisors is an integer number (4012344).

Almost surely, 2^85937236 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 85937236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96296256).

85937236 is an abundant number, since it is smaller than the sum of its proper divisors (106655276).

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

85937236 is a wasteful number, since it uses less digits than its factorization.

85937236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7598 counting only the distinct ones).

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

The square root of 85937236 is about 9270.2338697575. The cubic root of 85937236 is about 441.2930900307.

Subtracting from 85937236 its reverse (63273958), we obtain a triangular number (22663278 = T₆₇₃₂).

The spelling of 85937236 in words is "eighty-five million, nine hundred thirty-seven thousand, two hundred thirty-six".