5985600 has 168 divisors, whose sum is σ = 20787360. Its totient is φ = 1505280.

The previous prime is 5985587. The next prime is 5985611. The reversal of 5985600 is 65895.

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, 139179 + ... + 139221.

Almost surely, 2^5985600 is an apocalyptic number.

5985600 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 5985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393680).

5985600 is an abundant number, since it is smaller than the sum of its proper divisors (14801760).

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

5985600 is a wasteful number, since it uses less digits than its factorization.

5985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5985600 is about 2446.5485893397. The cubic root of 5985600 is about 181.5665731848.

The spelling of 5985600 in words is "five million, nine hundred eighty-five thousand, six hundred".