5958560 has 48 divisors (see below), whose sum is σ = 14224896. Its totient is φ = 2358528.

The previous prime is 5958527. The next prime is 5958569. The reversal of 5958560 is 658595.

It is not an unprimeable number, because it can be changed into a prime (5958569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26609 + ... + 26831.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 2^5958560 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 5958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112448).

5958560 is an abundant number, since it is smaller than the sum of its proper divisors (8266336).

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

5958560 is a wasteful number, since it uses less digits than its factorization.

5958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 38.

The square root of 5958560 is about 2441.0161818390. The cubic root of 5958560 is about 181.2927509145.

The spelling of 5958560 in words is "five million, nine hundred fifty-eight thousand, five hundred sixty".