85300000 has 72 divisors (see below), whose sum is σ = 210150612. Its totient is φ = 34080000.

The previous prime is 85299997. The next prime is 85300009. The reversal of 85300000 is 358.

It can be written as a sum of positive squares in 6 ways, for example, as 29289744 + 56010256 = 5412^2 + 7484^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (85300009) 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, 99574 + ... + 100426.

Almost surely, 2^85300000 is an apocalyptic number.

85300000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105075306).

85300000 is an abundant number, since it is smaller than the sum of its proper divisors (124850612).

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

85300000 is an frugal number, since it uses more digits than its factorization.

85300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 85300000 is about 9235.7999112151. The cubic root of 85300000 is about 440.1996339276.

Adding to 85300000 its reverse (358), we get a palindrome (85300358).

The spelling of 85300000 in words is "eighty-five million, three hundred thousand".