85309600 has 36 divisors (see below), whose sum is σ = 208264014. Its totient is φ = 34123520.

The previous prime is 85309591. The next prime is 85309607. The reversal of 85309600 is 690358.

It can be written as a sum of positive squares in 3 ways, for example, as 81938704 + 3370896 = 9052^2 + 1836^2 .

It is not an unprimeable number, because it can be changed into a prime (85309607) 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 5 ways as a sum of consecutive naturals, for example, 52519 + ... + 54118.

Almost surely, 2^85309600 is an apocalyptic number.

85309600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85309600 is an abundant number, since it is smaller than the sum of its proper divisors (122954414).

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

85309600 is a wasteful number, since it uses less digits than its factorization.

85309600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106657 (or 106644 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 85309600 is about 9236.3196133525. The cubic root of 85309600 is about 440.2161472452.

Adding to 85309600 its reverse (690358), we get a palindrome (85999958).

The spelling of 85309600 in words is "eighty-five million, three hundred nine thousand, six hundred".