960948 has 18 divisors (see below), whose sum is σ = 2429154. Its totient is φ = 320304.

The previous prime is 960941. The next prime is 960961. The reversal of 960948 is 849069.

960948 is a `hidden beast` number, since 9 + 609 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 459684 = 708^2 + 678^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 26693 = 960948 / (9 + 6 + 0 + 9 + 4 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960941) by changing a digit.

960948 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 5 ways as a sum of consecutive naturals, for example, 13311 + ... + 13382.

It is an arithmetic number, because the mean of its divisors is an integer number (134953).

2⁹⁶⁰⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

960948 is an abundant number, since it is smaller than the sum of its proper divisors (1468206).

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

960948 is a wasteful number, since it uses less digits than its factorization.

960948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26703 (or 26698 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 960948 is about 980.2795519646. The cubic root of 960948 is about 98.6809440828.

The spelling of 960948 in words is "nine hundred sixty thousand, nine hundred forty-eight".