85300768 has 36 divisors (see below), whose sum is σ = 195357582. Its totient is φ = 36556800.

The previous prime is 85300757. The next prime is 85300771. The reversal of 85300768 is 86700358.

It can be written as a sum of positive squares in only one way, i.e., 65480464 + 19820304 = 8092^2 + 4452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25633 + ... + 28768.

Almost surely, 2^85300768 is an apocalyptic number.

It is an amenable number.

85300768 is an abundant number, since it is smaller than the sum of its proper divisors (110056814).

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

85300768 is a wasteful number, since it uses less digits than its factorization.

85300768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54425 (or 54410 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 85300768 is about 9235.8414884622. The cubic root of 85300768 is about 440.2009550386.

It can be divided in two parts, 85300 and 768, that added together give a palindrome (86068).

The spelling of 85300768 in words is "eighty-five million, three hundred thousand, seven hundred sixty-eight".