5984000 has 144 divisors (see below), whose sum is σ = 17218656. Its totient is φ = 2048000.

The previous prime is 5983997. The next prime is 5984021. The reversal of 5984000 is 4895.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351992 + ... + 352008.

It is an arithmetic number, because the mean of its divisors is an integer number (119574).

Almost surely, 2^5984000 is an apocalyptic number.

5984000 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 5984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609328).

5984000 is an abundant number, since it is smaller than the sum of its proper divisors (11234656).

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

5984000 is a wasteful number, since it uses less digits than its factorization.

5984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 5984000 is about 2446.2215762273. The cubic root of 5984000 is about 181.5503936647.

Adding to 5984000 its reverse (4895), we get a palindrome (5988895).

The spelling of 5984000 in words is "five million, nine hundred eighty-four thousand".