961968 has 60 divisors (see below), whose sum is σ = 2897880. Its totient is φ = 274176.

The previous prime is 961957. The next prime is 961973. The reversal of 961968 is 869169.

It is a zygodrome in base 7.

It is an unprimeable number.

961968 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2148 + ... + 2556.

It is an arithmetic number, because the mean of its divisors is an integer number (48298).

2⁹⁶¹⁹⁶⁸ is an apocalyptic number.

961968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448940).

961968 is an abundant number, since it is smaller than the sum of its proper divisors (1935912).

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

961968 is a wasteful number, since it uses less digits than its factorization.

961968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 961968 is about 980.7996737357. The cubic root of 961968 is about 98.7158467589.

The spelling of 961968 in words is "nine hundred sixty-one thousand, nine hundred sixty-eight".