5984640 has 96 divisors (see below), whose sum is σ = 20685600. Its totient is φ = 1594368.

The previous prime is 5984599. The next prime is 5984659. The reversal of 5984640 is 464895.

5984640 is a `hidden beast` number, since 5 + 9 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5984595 and 5984604.

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, 5241 + ... + 6279.

It is an arithmetic number, because the mean of its divisors is an integer number (215475).

Almost surely, 2^5984640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342800).

5984640 is an abundant number, since it is smaller than the sum of its proper divisors (14700960).

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

5984640 is a wasteful number, since it uses less digits than its factorization.

5984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5984640 is about 2446.3523867178. The cubic root of 5984640 is about 181.5568658188.

The spelling of 5984640 in words is "five million, nine hundred eighty-four thousand, six hundred forty".