85399300 has 72 divisors (see below), whose sum is σ = 222971840. Its totient is φ = 27734400.

The previous prime is 85399277. The next prime is 85399309. The reversal of 85399300 is 399358.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85399300.

It is not an unprimeable number, because it can be changed into a prime (85399309) 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 23 ways as a sum of consecutive naturals, for example, 10090 + ... + 16510.

Almost surely, 2^85399300 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 85399300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111485920).

85399300 is an abundant number, since it is smaller than the sum of its proper divisors (137572540).

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

85399300 is a wasteful number, since it uses less digits than its factorization.

85399300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 85399300 is about 9241.1741678209. The cubic root of 85399300 is about 440.3703837228.

The spelling of 85399300 in words is "eighty-five million, three hundred ninety-nine thousand, three hundred".