946968 has 64 divisors (see below), whose sum is σ = 2747520. Its totient is φ = 268800.

The previous prime is 946961. The next prime is 946969. The reversal of 946968 is 869649.

946968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946961) by changing a digit.

946968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4383 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (42930).

2⁹⁴⁶⁹⁶⁸ 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 946968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373760).

946968 is an abundant number, since it is smaller than the sum of its proper divisors (1800552).

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

946968 is a wasteful number, since it uses less digits than its factorization.

946968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

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

The square root of 946968 is about 973.1228082827. The cubic root of 946968 is about 98.2000633258.

The spelling of 946968 in words is "nine hundred forty-six thousand, nine hundred sixty-eight".