5143968 has 72 divisors (see below), whose sum is σ = 14948388. Its totient is φ = 1677312.

The previous prime is 5143967. The next prime is 5143987. The reversal of 5143968 is 8693415.

5143968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 144 = 2268^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (5143967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15096 + ... + 15432.

Almost surely, 2^5143968 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 5143968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474194).

5143968 is an abundant number, since it is smaller than the sum of its proper divisors (9804420).

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

5143968 is a wasteful number, since it uses less digits than its factorization.

5143968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 5143968 is about 2268.0317458096. The cubic root of 5143968 is about 172.6233018877.

The spelling of 5143968 in words is "five million, one hundred forty-three thousand, nine hundred sixty-eight".