4517968 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1709568.

The previous prime is 4517957. The next prime is 4517977. The reversal of 4517968 is 8697154.

It is a self number, because there is not a number n which added to its sum of digits gives 4517968.

It is a congruent number.

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, 42171 + ... + 42277.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^4517968 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 4517968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4517968 is an abundant number, since it is smaller than the sum of its proper divisors (6731312).

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

4517968 is a wasteful number, since it uses less digits than its factorization.

4517968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 4517968 is about 2125.5512226244. The cubic root of 4517968 is about 165.3158077735.

The spelling of 4517968 in words is "four million, five hundred seventeen thousand, nine hundred sixty-eight".