5881600 has 54 divisors (see below), whose sum is σ = 14573720. Its totient is φ = 2350080.

The previous prime is 5881597. The next prime is 5881607. The reversal of 5881600 is 61885.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5881607) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5941 + ... + 6859.

Almost surely, 2^5881600 is an apocalyptic number.

5881600 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 5881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286860).

5881600 is an abundant number, since it is smaller than the sum of its proper divisors (8692120).

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

5881600 is an equidigital number, since it uses as much as digits as its factorization.

5881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 5881600 is about 2425.2010225959. The cubic root of 5881600 is about 180.5088482297.

The spelling of 5881600 in words is "five million, eight hundred eighty-one thousand, six hundred".