85537536 has 108 divisors (see below), whose sum is σ = 264939192. Its totient is φ = 24428544.

The previous prime is 85537519. The next prime is 85537583. The reversal of 85537536 is 63573558.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 36496 + ... + 38768.

Almost surely, 2^85537536 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 85537536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132469596).

85537536 is an abundant number, since it is smaller than the sum of its proper divisors (179401656).

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

85537536 is a wasteful number, since it uses less digits than its factorization.

85537536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2285 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 85537536 is about 9248.6504961535. The cubic root of 85537536 is about 440.6078650748.

The spelling of 85537536 in words is "eighty-five million, five hundred thirty-seven thousand, five hundred thirty-six".