611968 has 32 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 261888.

The previous prime is 611957. The next prime is 611969. The reversal of 611968 is 869116.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (611969) by changing a digit.

611968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555 + ... + 1237.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

2⁶¹¹⁹⁶⁸ 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 611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680).

611968 is an abundant number, since it is smaller than the sum of its proper divisors (783392).

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

611968 is an equidigital number, since it uses as much as digits as its factorization.

611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 611968 is about 782.2838359573. The cubic root of 611968 is about 84.9003676912.

The spelling of 611968 in words is "six hundred eleven thousand, nine hundred sixty-eight".