85337568 has 72 divisors (see below), whose sum is σ = 244062000. Its totient is φ = 28283904.

The previous prime is 85337557. The next prime is 85337573. The reversal of 85337568 is 86573358.

85337568 is a `hidden beast` number, since 8 + 53 + 37 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 56568 + ... + 58056.

It is an arithmetic number, because the mean of its divisors is an integer number (3389750).

Almost surely, 2^85337568 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 85337568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122031000).

85337568 is an abundant number, since it is smaller than the sum of its proper divisors (158724432).

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

85337568 is a wasteful number, since it uses less digits than its factorization.

85337568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1693 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 85337568 is about 9237.8335122473. The cubic root of 85337568 is about 440.2642489828.

It can be divided in two parts, 85337 and 568, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 85337568 in words is "eighty-five million, three hundred thirty-seven thousand, five hundred sixty-eight".