5958768 has 40 divisors (see below), whose sum is σ = 15756928. Its totient is φ = 1939392.

The previous prime is 5958767. The next prime is 5958773. The reversal of 5958768 is 8678595.

5958768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5958763) 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, 621 + ... + 3507.

Almost surely, 2^5958768 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 5958768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878464).

5958768 is an abundant number, since it is smaller than the sum of its proper divisors (9798160).

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

5958768 is a wasteful number, since it uses less digits than its factorization.

5958768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2935 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 5958768 is about 2441.0587866743. The cubic root of 5958768 is about 181.2948603981.

The spelling of 5958768 in words is "five million, nine hundred fifty-eight thousand, seven hundred sixty-eight".