5988800 has 84 divisors (see below), whose sum is σ = 15590520. Its totient is φ = 2257920.

The previous prime is 5988793. The next prime is 5988817. The reversal of 5988800 is 88895.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30302 + ... + 30498.

Almost surely, 2^5988800 is an apocalyptic number.

5988800 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 5988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795260).

5988800 is an abundant number, since it is smaller than the sum of its proper divisors (9601720).

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

5988800 is a wasteful number, since it uses less digits than its factorization.

5988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 5988800 is about 2447.2024844708. The cubic root of 5988800 is about 181.5989235771.

The spelling of 5988800 in words is "five million, nine hundred eighty-eight thousand, eight hundred".