5658960 has 160 divisors (see below), whose sum is σ = 19820160. Its totient is φ = 1327104.

The previous prime is 5658959. The next prime is 5658967. The reversal of 5658960 is 698565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5658967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77484 + ... + 77556.

It is an arithmetic number, because the mean of its divisors is an integer number (123876).

Almost surely, 2^5658960 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 5658960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9910080).

5658960 is an abundant number, since it is smaller than the sum of its proper divisors (14161200).

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

5658960 is a wasteful number, since it uses less digits than its factorization.

5658960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5658960 is about 2378.8568683298. The cubic root of 5658960 is about 178.2018498802.

The spelling of 5658960 in words is "five million, six hundred fifty-eight thousand, nine hundred sixty".