85111936 has 64 divisors (see below), whose sum is σ = 208716480. Its totient is φ = 33666048.

The previous prime is 85111933. The next prime is 85111987. The reversal of 85111936 is 63911158.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (85111933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7995 + ... + 15301.

It is an arithmetic number, because the mean of its divisors is an integer number (3261195).

Almost surely, 2^85111936 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 85111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104358240).

85111936 is an abundant number, since it is smaller than the sum of its proper divisors (123604544).

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

85111936 is a wasteful number, since it uses less digits than its factorization.

85111936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7329 counting only the distinct ones).

The product of its digits is 6480, while the sum is 34.

The square root of 85111936 is about 9225.6130419610. The cubic root of 85111936 is about 439.8758878596.

The spelling of 85111936 in words is "eighty-five million, one hundred eleven thousand, nine hundred thirty-six".