5957760 has 128 divisors (see below), whose sum is σ = 19828800. Its totient is φ = 1519616.

The previous prime is 5957753. The next prime is 5957771. The reversal of 5957760 is 677595.

It is a tau number, because it is divible by the number of its divisors (128).

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, 55627 + ... + 55733.

Almost surely, 2^5957760 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 5957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9914400).

5957760 is an abundant number, since it is smaller than the sum of its proper divisors (13871040).

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

5957760 is a wasteful number, since it uses less digits than its factorization.

5957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 5957760 is about 2440.8523101573. The cubic root of 5957760 is about 181.2846370586.

The spelling of 5957760 in words is "five million, nine hundred fifty-seven thousand, seven hundred sixty".