5937760 has 96 divisors (see below), whose sum is σ = 15513120. Its totient is φ = 2138112.

The previous prime is 5937739. The next prime is 5937761. The reversal of 5937760 is 677395.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5937761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100611 + ... + 100669.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

Almost surely, 2^5937760 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 5937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560).

5937760 is an abundant number, since it is smaller than the sum of its proper divisors (9575360).

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

5937760 is a wasteful number, since it uses less digits than its factorization.

5937760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 5937760 is about 2436.7519364925. The cubic root of 5937760 is about 181.0815541642.

It can be divided in two parts, 5 and 937760, that added together give a triangular number (937765 = T₁₃₆₉).

The spelling of 5937760 in words is "five million, nine hundred thirty-seven thousand, seven hundred sixty".