85301336 has 64 divisors (see below), whose sum is σ = 178252800. Its totient is φ = 38102400.

The previous prime is 85301311. The next prime is 85301339. The reversal of 85301336 is 63310358.

It is a junction number, because it is equal to n+sod(n) for n = 85301299 and 85301308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85301339) 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 15 ways as a sum of consecutive naturals, for example, 202406 + ... + 202826.

It is an arithmetic number, because the mean of its divisors is an integer number (2785200).

Almost surely, 2^85301336 is an apocalyptic number.

85301336 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

85301336 is an abundant number, since it is smaller than the sum of its proper divisors (92951464).

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

85301336 is a wasteful number, since it uses less digits than its factorization.

85301336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 85301336 is about 9235.8722381809. The cubic root of 85301336 is about 440.2019321052.

The spelling of 85301336 in words is "eighty-five million, three hundred one thousand, three hundred thirty-six".