5985200 has 60 divisors (see below), whose sum is σ = 15499008. Its totient is φ = 2208000.

The previous prime is 5985193. The next prime is 5985211. The reversal of 5985200 is 25895.

It is an Ulam 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, 4625 + ... + 5775.

Almost surely, 2^5985200 is an apocalyptic number.

5985200 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 5985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749504).

5985200 is an abundant number, since it is smaller than the sum of its proper divisors (9513808).

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

5985200 is a wasteful number, since it uses less digits than its factorization.

5985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 5985200 is about 2446.4668401595. The cubic root of 5985200 is about 181.5625285751.

The spelling of 5985200 in words is "five million, nine hundred eighty-five thousand, two hundred".