5968512 has 128 divisors (see below), whose sum is σ = 19339200. Its totient is φ = 1797120.

The previous prime is 5968481. The next prime is 5968549. The reversal of 5968512 is 2158695.

It is a happy number.

5968512 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 37938 + ... + 38094.

Almost surely, 2^5968512 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 5968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669600).

5968512 is an abundant number, since it is smaller than the sum of its proper divisors (13370688).

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

5968512 is a wasteful number, since it uses less digits than its factorization.

5968512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5968512 is about 2443.0538266686. The cubic root of 5968512 is about 181.3936266246.

The spelling of 5968512 in words is "five million, nine hundred sixty-eight thousand, five hundred twelve".