5587200 has 162 divisors, whose sum is σ = 20181434. Its totient is φ = 1474560.

The previous prime is 5587199. The next prime is 5587249. The reversal of 5587200 is 27855.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 278784 + 5308416 = 528^2 + 2304^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57552 + ... + 57648.

Almost surely, 2^5587200 is an apocalyptic number.

5587200 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 5587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090717).

5587200 is an abundant number, since it is smaller than the sum of its proper divisors (14594234).

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

5587200 is a wasteful number, since it uses less digits than its factorization.

5587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5587200 is about 2363.7258724311. The cubic root of 5587200 is about 177.4453974746.

The spelling of 5587200 in words is "five million, five hundred eighty-seven thousand, two hundred".