5168960 has 56 divisors (see below), whose sum is σ = 12755880. Its totient is φ = 1992704.

The previous prime is 5168953. The next prime is 5168963. The reversal of 5168960 is 698615.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 5125696 = 208^2 + 2264^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5168960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5168963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9002 + ... + 9558.

Almost surely, 2^5168960 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 5168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377940).

5168960 is an abundant number, since it is smaller than the sum of its proper divisors (7586920).

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

5168960 is a wasteful number, since it uses less digits than its factorization.

5168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 5168960 is about 2273.5346929396. The cubic root of 5168960 is about 172.9024141412.

The spelling of 5168960 in words is "five million, one hundred sixty-eight thousand, nine hundred sixty".