5587968 has 88 divisors (see below), whose sum is σ = 15917472. Its totient is φ = 1736704.

The previous prime is 5587943. The next prime is 5587969. The reversal of 5587968 is 8697855.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5587969) 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, 52171 + ... + 52277.

Almost surely, 2^5587968 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 5587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958736).

5587968 is an abundant number, since it is smaller than the sum of its proper divisors (10329504).

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

5587968 is a wasteful number, since it uses less digits than its factorization.

5587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 5587968 is about 2363.8883222352. Note that the first 3 decimals coincide. The cubic root of 5587968 is about 177.4535274754.

It can be divided in two parts, 5587 and 968, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 5587968 in words is "five million, five hundred eighty-seven thousand, nine hundred sixty-eight".