85135820 has 96 divisors (see below), whose sum is σ = 226920960. Its totient is φ = 26058240.

The previous prime is 85135807. The next prime is 85135823. The reversal of 85135820 is 2853158.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85135823) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 90392 + ... + 91328.

It is an arithmetic number, because the mean of its divisors is an integer number (2363760).

Almost surely, 2^85135820 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 85135820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113460480).

85135820 is an abundant number, since it is smaller than the sum of its proper divisors (141785140).

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

85135820 is a wasteful number, since it uses less digits than its factorization.

85135820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 85135820 is about 9226.9073908867. The cubic root of 85135820 is about 439.9170298100.

Adding to 85135820 its reverse (2853158), we get a palindrome (87988978).

The spelling of 85135820 in words is "eighty-five million, one hundred thirty-five thousand, eight hundred twenty".