85603200 has 192 divisors, whose sum is σ = 290777520. Its totient is φ = 22118400.

The previous prime is 85603169. The next prime is 85603201. The reversal of 85603200 is 230658.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85603201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355080 + ... + 355320.

Almost surely, 2^85603200 is an apocalyptic number.

85603200 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 85603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145388760).

85603200 is an abundant number, since it is smaller than the sum of its proper divisors (205174320).

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

85603200 is a wasteful number, since it uses less digits than its factorization.

85603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 85603200 is about 9252.1997384406. The cubic root of 85603200 is about 440.7205823527.

Adding to 85603200 its reverse (230658), we get a palindrome (85833858).

The spelling of 85603200 in words is "eighty-five million, six hundred three thousand, two hundred".