948168 has 48 divisors (see below), whose sum is σ = 2768220. Its totient is φ = 291456.

The previous prime is 948151. The next prime is 948169. The reversal of 948168 is 861849.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 272484 = 822^2 + 522^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (948169) by changing a digit.

948168 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 11 ways as a sum of consecutive naturals, for example, 430 + ... + 1442.

2⁹⁴⁸¹⁶⁸ 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 948168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384110).

948168 is an abundant number, since it is smaller than the sum of its proper divisors (1820052).

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

948168 is a wasteful number, since it uses less digits than its factorization.

948168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1031 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 948168 is about 973.7391847923. The cubic root of 948168 is about 98.2415255982.

The spelling of 948168 in words is "nine hundred forty-eight thousand, one hundred sixty-eight".