5968755 has 64 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 2768256.

The previous prime is 5968741. The next prime is 5968759. The reversal of 5968755 is 5578695.

5968755 is a `hidden beast` number, since 596 + 8 + 7 + 55 = 666.

It is not a de Polignac number, because 5968755 - 2⁵ = 5968723 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (378000) is a multiple of the sum of its prime factors (225).

5968755 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5968755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5968759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33256 + ... + 33434.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^5968755 is an apocalyptic number.

5968755 is an abundant number, since it is smaller than the sum of its proper divisors (6127245).

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

5968755 is a wasteful number, since it uses less digits than its factorization.

5968755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 5968755 is about 2443.1035590003. The cubic root of 5968755 is about 181.3960883244.

The spelling of 5968755 in words is "five million, nine hundred sixty-eight thousand, seven hundred fifty-five".