5793120 has 144 divisors (see below), whose sum is σ = 20638800. Its totient is φ = 1534464.

The previous prime is 5793113. The next prime is 5793133. The reversal of 5793120 is 213975.

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, 38806 + ... + 38954.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

Almost surely, 2^5793120 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 5793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319400).

5793120 is an abundant number, since it is smaller than the sum of its proper divisors (14845680).

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

5793120 is a wasteful number, since it uses less digits than its factorization.

5793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5793120 is about 2406.8901096643. The cubic root of 5793120 is about 179.5991078042.

The spelling of 5793120 in words is "five million, seven hundred ninety-three thousand, one hundred twenty".