5587600 has 60 divisors (see below), whose sum is σ = 13703860. Its totient is φ = 2188800.

The previous prime is 5587583. The next prime is 5587601. The reversal of 5587600 is 67855.

It can be written as a sum of positive squares in 6 ways, for example, as 186624 + 5400976 = 432^2 + 2324^2 .

It is not an unprimeable number, because it can be changed into a prime (5587601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24286 + ... + 24514.

Almost surely, 2^5587600 is an apocalyptic number.

5587600 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 5587600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851930).

5587600 is an abundant number, since it is smaller than the sum of its proper divisors (8116260).

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

5587600 is a wasteful number, since it uses less digits than its factorization.

5587600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 5587600 is about 2363.8104830972. The cubic root of 5587600 is about 177.4496319429.

The spelling of 5587600 in words is "five million, five hundred eighty-seven thousand, six hundred".