5885600 has 72 divisors (see below), whose sum is σ = 16436448. Its totient is φ = 2016000.

The previous prime is 5885599. The next prime is 5885623. The reversal of 5885600 is 65885.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5075 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (228284).

Almost surely, 2^5885600 is an apocalyptic number.

5885600 is a gapful number since it is divisible by the number (50) 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 5885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218224).

5885600 is an abundant number, since it is smaller than the sum of its proper divisors (10550848).

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

5885600 is a wasteful number, since it uses less digits than its factorization.

5885600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 5885600 is about 2426.0255563369. The cubic root of 5885600 is about 180.5497595334.

It can be divided in two parts, 58 and 85600, that added together give a palindrome (85658).

The spelling of 5885600 in words is "five million, eight hundred eighty-five thousand, six hundred".