85761312 has 96 divisors (see below), whose sum is σ = 277103232. Its totient is φ = 22616064.

The previous prime is 85761259. The next prime is 85761329. The reversal of 85761312 is 21316758.

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

It is a super-2 number, since 2×85761312² = 14710005271922688, which contains 22 as substring.

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, 3828 + ... + 13644.

It is an arithmetic number, because the mean of its divisors is an integer number (2886492).

Almost surely, 2^85761312 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 85761312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138551616).

85761312 is an abundant number, since it is smaller than the sum of its proper divisors (191341920).

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

85761312 is a wasteful number, since it uses less digits than its factorization.

85761312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9842 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 85761312 is about 9260.7403591722. The cubic root of 85761312 is about 440.9917573955.

The spelling of 85761312 in words is "eighty-five million, seven hundred sixty-one thousand, three hundred twelve".