85916934 has 48 divisors (see below), whose sum is σ = 194088960. Its totient is φ = 27437040.

The previous prime is 85916933. The next prime is 85916939. The reversal of 85916934 is 43961958.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85916934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85916933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58987 + ... + 60425.

It is an arithmetic number, because the mean of its divisors is an integer number (4043520).

It is a vampire number, since it can be written as 8634 ⋅ 9951 (with its own digits).

Almost surely, 2^85916934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85916934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97044480).

85916934 is an abundant number, since it is smaller than the sum of its proper divisors (108172026).

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

85916934 is a wasteful number, since it uses less digits than its factorization.

85916934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1582 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 85916934 is about 9269.1387949475. The cubic root of 85916934 is about 441.2583366132.

The spelling of 85916934 in words is "eighty-five million, nine hundred sixteen thousand, nine hundred thirty-four".