5088600 has 144 divisors (see below), whose sum is σ = 18715320. Its totient is φ = 1228800.

The previous prime is 5088569. The next prime is 5088613. The reversal of 5088600 is 68805.

5088600 is a `hidden beast` number, since 50 + 8 + 8 + 600 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 19672 + ... + 19928.

Almost surely, 2^5088600 is an apocalyptic number.

5088600 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 5088600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357660).

5088600 is an abundant number, since it is smaller than the sum of its proper divisors (13626720).

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

5088600 is a wasteful number, since it uses less digits than its factorization.

5088600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5088600 is about 2255.7925436529. The cubic root of 5088600 is about 172.0017126204.

The spelling of 5088600 in words is "five million, eighty-eight thousand, six hundred".