947268 has 72 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 269136.

The previous prime is 947263. The next prime is 947299. The reversal of 947268 is 862749.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 947268.

It is not an unprimeable number, because it can be changed into a prime (947263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5203 + ... + 5381.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁹⁴⁷²⁶⁸ is an apocalyptic number.

947268 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 947268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

947268 is an abundant number, since it is smaller than the sum of its proper divisors (1925532).

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

947268 is a wasteful number, since it uses less digits than its factorization.

947268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 947268 is about 973.2769390055. The cubic root of 947268 is about 98.2104321762.

The spelling of 947268 in words is "nine hundred forty-seven thousand, two hundred sixty-eight".