85200384 has 40 divisors (see below), whose sum is σ = 226983240. Its totient is φ = 28399616.

The previous prime is 85200373. The next prime is 85200403. The reversal of 85200384 is 48300258.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26199 + ... + 29270.

It is an arithmetic number, because the mean of its divisors is an integer number (5674581).

Almost surely, 2^85200384 is an apocalyptic number.

It is an amenable number.

85200384 is an abundant number, since it is smaller than the sum of its proper divisors (141782856).

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

85200384 is an equidigital number, since it uses as much as digits as its factorization.

85200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55490 (or 55474 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85200384 is about 9230.4054082147. The cubic root of 85200384 is about 440.0282075580.

The spelling of 85200384 in words is "eighty-five million, two hundred thousand, three hundred eighty-four".