85300356 has 48 divisors (see below), whose sum is σ = 211692096. Its totient is φ = 26640384.

The previous prime is 85300351. The next prime is 85300357. The reversal of 85300356 is 65300358.

It is not an unprimeable number, because it can be changed into a prime (85300351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51615 + ... + 53241.

It is an arithmetic number, because the mean of its divisors is an integer number (4410252).

Almost surely, 2^85300356 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 85300356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105846048).

85300356 is an abundant number, since it is smaller than the sum of its proper divisors (126391740).

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

85300356 is a wasteful number, since it uses less digits than its factorization.

85300356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 85300356 is about 9235.8191840248. The cubic root of 85300356 is about 440.2002463186.

The spelling of 85300356 in words is "eighty-five million, three hundred thousand, three hundred fifty-six".