5983200 has 144 divisors (see below), whose sum is σ = 21717360. Its totient is φ = 1589760.

The previous prime is 5983183. The next prime is 5983213. The reversal of 5983200 is 23895.

5983200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21462 + ... + 21738.

It is an arithmetic number, because the mean of its divisors is an integer number (150815).

Almost surely, 2^5983200 is an apocalyptic number.

5983200 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 5983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10858680).

5983200 is an abundant number, since it is smaller than the sum of its proper divisors (15734160).

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

5983200 is a wasteful number, since it uses less digits than its factorization.

5983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5983200 is about 2446.0580532767. The cubic root of 5983200 is about 181.5423028231.

The spelling of 5983200 in words is "five million, nine hundred eighty-three thousand, two hundred".