947968 has 54 divisors (see below), whose sum is σ = 2260664. Its totient is φ = 388608.

The previous prime is 947963. The next prime is 947987. The reversal of 947968 is 869749.

Its product of digits (108864) is a multiple of the sum of its prime divisors (32).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41205 + ... + 41227.

2⁹⁴⁷⁹⁶⁸ 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 947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130332).

947968 is an abundant number, since it is smaller than the sum of its proper divisors (1312696).

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

947968 is an equidigital number, since it uses as much as digits as its factorization.

947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 32 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 947968 is about 973.6364824718. The cubic root of 947968 is about 98.2346176498.

The spelling of 947968 in words is "nine hundred forty-seven thousand, nine hundred sixty-eight".