5585400 has 144 divisors (see below), whose sum is σ = 19585800. Its totient is φ = 1424640.

The previous prime is 5585383. The next prime is 5585423. The reversal of 5585400 is 45855.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52147 + ... + 52253.

Almost surely, 2^5585400 is an apocalyptic number.

5585400 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 5585400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792900).

5585400 is an abundant number, since it is smaller than the sum of its proper divisors (14000400).

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

5585400 is a wasteful number, since it uses less digits than its factorization.

5585400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5585400 is about 2363.3450869477. The cubic root of 5585400 is about 177.4263398654.

The spelling of 5585400 in words is "five million, five hundred eighty-five thousand, four hundred".