85203360 has 288 divisors, whose sum is σ = 329797440. Its totient is φ = 20528640.

The previous prime is 85203359. The next prime is 85203367. The reversal of 85203360 is 6330258.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×85203360² = 14519225110579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85203367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522639 + ... + 522801.

It is an arithmetic number, because the mean of its divisors is an integer number (1145130).

Almost surely, 2^85203360 is an apocalyptic number.

85203360 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 85203360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164898720).

85203360 is an abundant number, since it is smaller than the sum of its proper divisors (244594080).

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

85203360 is a wasteful number, since it uses less digits than its factorization.

85203360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 85203360 is about 9230.5666131609. The cubic root of 85203360 is about 440.0333308084.

The spelling of 85203360 in words is "eighty-five million, two hundred three thousand, three hundred sixty".