85245600 has 144 divisors (see below), whose sum is σ = 302793120. Its totient is φ = 20659200.

The previous prime is 85245593. The next prime is 85245607. The reversal of 85245600 is 654258.

It is an interprime number because it is at equal distance from previous prime (85245593) and next prime (85245607).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (85245607) 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, 24786 + ... + 28014.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730).

Almost surely, 2^85245600 is an apocalyptic number.

85245600 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 85245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151396560).

85245600 is an abundant number, since it is smaller than the sum of its proper divisors (217547520).

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

85245600 is a wasteful number, since it uses less digits than its factorization.

85245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 85245600 is about 9232.8543798762. The cubic root of 85245600 is about 440.1060350508.

Adding to 85245600 its reverse (654258), we get a palindrome (85899858).

The spelling of 85245600 in words is "eighty-five million, two hundred forty-five thousand, six hundred".