85360300 has 36 divisors (see below), whose sum is σ = 186491536. Its totient is φ = 33912000.

The previous prime is 85360283. The next prime is 85360307. The reversal of 85360300 is 306358.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (85360307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12274 + ... + 17926.

Almost surely, 2^85360300 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 85360300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93245768).

85360300 is an abundant number, since it is smaller than the sum of its proper divisors (101131236).

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

85360300 is a wasteful number, since it uses less digits than its factorization.

85360300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 85360300 is about 9239.0638053863. The cubic root of 85360300 is about 440.3033376618.

Adding to 85360300 its reverse (306358), we get a palindrome (85666658).

The spelling of 85360300 in words is "eighty-five million, three hundred sixty thousand, three hundred".