85476300 has 288 divisors, whose sum is σ = 317313024. Its totient is φ = 17280000.

The previous prime is 85476277. The next prime is 85476329. The reversal of 85476300 is 367458.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 846250 + ... + 846350.

Almost surely, 2^85476300 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 85476300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158656512).

85476300 is an abundant number, since it is smaller than the sum of its proper divisors (231836724).

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

85476300 is a wasteful number, since it uses less digits than its factorization.

85476300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 85476300 is about 9245.3393664051. The cubic root of 85476300 is about 440.5026968037.

The spelling of 85476300 in words is "eighty-five million, four hundred seventy-six thousand, three hundred".