85537500 has 72 divisors (see below), whose sum is σ = 249577776. Its totient is φ = 22800000.

The previous prime is 85537471. The next prime is 85537511. The reversal of 85537500 is 573558.

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 23 ways as a sum of consecutive naturals, for example, 36360 + ... + 38640.

It is an arithmetic number, because the mean of its divisors is an integer number (3466358).

Almost surely, 2^85537500 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 85537500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124788888).

85537500 is an abundant number, since it is smaller than the sum of its proper divisors (164040276).

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

85537500 is a wasteful number, since it uses less digits than its factorization.

85537500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 85537500 is about 9248.6485499234. The cubic root of 85537500 is about 440.6078032623.

The spelling of 85537500 in words is "eighty-five million, five hundred thirty-seven thousand, five hundred".