85237536 has 96 divisors (see below), whose sum is σ = 231336000. Its totient is φ = 27468800.

The previous prime is 85237519. The next prime is 85237549. The reversal of 85237536 is 63573258.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 85237494 and 85237503.

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, 571990 + ... + 572138.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^85237536 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 85237536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115668000).

85237536 is an abundant number, since it is smaller than the sum of its proper divisors (146098464).

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

85237536 is a wasteful number, since it uses less digits than its factorization.

85237536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 85237536 is about 9232.4176681950. The cubic root of 85237536 is about 440.0921570051.

The spelling of 85237536 in words is "eighty-five million, two hundred thirty-seven thousand, five hundred thirty-six".