85346436 has 72 divisors (see below), whose sum is σ = 233271360. Its totient is φ = 24214848.

The previous prime is 85346419. The next prime is 85346467. The reversal of 85346436 is 63464358.

It is a junction number, because it is equal to n+sod(n) for n = 85346394 and 85346403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101305 + ... + 102143.

It is an arithmetic number, because the mean of its divisors is an integer number (3239880).

Almost surely, 2^85346436 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 85346436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116635680).

85346436 is an abundant number, since it is smaller than the sum of its proper divisors (147924924).

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

85346436 is a wasteful number, since it uses less digits than its factorization.

85346436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1024 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 85346436 is about 9238.3134824491. The cubic root of 85346436 is about 440.2794987265.

The spelling of 85346436 in words is "eighty-five million, three hundred forty-six thousand, four hundred thirty-six".