945168 has 80 divisors (see below), whose sum is σ = 2916480. Its totient is φ = 258048.

The previous prime is 945151. The next prime is 945179. The reversal of 945168 is 861549.

Its product of digits (8640) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9696 + ... + 9792.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2⁹⁴⁵¹⁶⁸ 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 945168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458240).

945168 is an abundant number, since it is smaller than the sum of its proper divisors (1971312).

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

945168 is a wasteful number, since it uses less digits than its factorization.

945168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 945168 is about 972.1975107971. The cubic root of 945168 is about 98.1378041901.

The spelling of 945168 in words is "nine hundred forty-five thousand, one hundred sixty-eight".