5796960 has 96 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 1425408.

The previous prime is 5796953. The next prime is 5796977. The reversal of 5796960 is 696975.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 5776 + ... + 6704.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 2^5796960 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 5796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

5796960 is an abundant number, since it is smaller than the sum of its proper divisors (13889280).

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

5796960 is a wasteful number, since it uses less digits than its factorization.

5796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 5796960 is about 2407.6876873880. The cubic root of 5796960 is about 179.6387817766.

The spelling of 5796960 in words is "five million, seven hundred ninety-six thousand, nine hundred sixty".