968946 has 32 divisors (see below), whose sum is σ = 2161728. Its totient is φ = 287040.

The previous prime is 968939. The next prime is 968959. The reversal of 968946 is 649869.

It is a d-powerful number, because it can be written as 9⁵ + 6³ + 9⁶ + 8⁵ + 4⁸ + 6⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 968898 and 968907.

It is an unprimeable number.

968946 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 15 ways as a sum of consecutive naturals, for example, 3360 + ... + 3636.

It is an arithmetic number, because the mean of its divisors is an integer number (67554).

2⁹⁶⁸⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080864).

968946 is an abundant number, since it is smaller than the sum of its proper divisors (1192782).

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

968946 is a wasteful number, since it uses less digits than its factorization.

968946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346.

The product of its digits is 93312, while the sum is 42.

The square root of 968946 is about 984.3505473153. The cubic root of 968946 is about 98.9539628824.

The spelling of 968946 in words is "nine hundred sixty-eight thousand, nine hundred forty-six".