947568 has 40 divisors (see below), whose sum is σ = 2579200. Its totient is φ = 298944.

The previous prime is 947561. The next prime is 947579. The reversal of 947568 is 865749.

It is a super-2 number, since 2×947568² = 1795770229248, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 947568.

It is not an unprimeable number, because it can be changed into a prime (947561) by changing a digit.

947568 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 7 ways as a sum of consecutive naturals, for example, 393 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (64480).

2⁹⁴⁷⁵⁶⁸ 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 947568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289600).

947568 is an abundant number, since it is smaller than the sum of its proper divisors (1631632).

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

947568 is a wasteful number, since it uses less digits than its factorization.

947568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 947568 is about 973.4310453237. The cubic root of 947568 is about 98.2207988376.

The spelling of 947568 in words is "nine hundred forty-seven thousand, five hundred sixty-eight".