85337136 has 60 divisors (see below), whose sum is σ = 239913960. Its totient is φ = 28316160.

The previous prime is 85337117. The next prime is 85337149. The reversal of 85337136 is 63173358.

It is a super-3 number, since 3×85337136³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85337136.

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, 33475 + ... + 35933.

It is an arithmetic number, because the mean of its divisors is an integer number (3998566).

Almost surely, 2^85337136 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 85337136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119956980).

85337136 is an abundant number, since it is smaller than the sum of its proper divisors (154576824).

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

85337136 is a wasteful number, since it uses less digits than its factorization.

85337136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2705 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 85337136 is about 9237.8101301120. The cubic root of 85337136 is about 440.2635060725.

The spelling of 85337136 in words is "eighty-five million, three hundred thirty-seven thousand, one hundred thirty-six".