4587968 has 112 divisors (see below), whose sum is σ = 12192000. Its totient is φ = 1693440.

The previous prime is 4587967. The next prime is 4587997. The reversal of 4587968 is 8697854.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (483840) is a multiple of the sum of its prime factors (63).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4587967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241463 + ... + 241481.

Almost surely, 2^4587968 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 4587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096000).

4587968 is an abundant number, since it is smaller than the sum of its proper divisors (7604032).

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

4587968 is a wasteful number, since it uses less digits than its factorization.

4587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 4587968 is about 2141.9542478774. The cubic root of 4587968 is about 166.1652199312.

It can be divided in two parts, 4587 and 968, that added together give a palindrome (5555).

The spelling of 4587968 in words is "four million, five hundred eighty-seven thousand, nine hundred sixty-eight".