5287968 has 144 divisors (see below), whose sum is σ = 17873856. Its totient is φ = 1451520.

The previous prime is 5287957. The next prime is 5287973. The reversal of 5287968 is 8697825.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86658 + ... + 86718.

It is an arithmetic number, because the mean of its divisors is an integer number (124124).

Almost surely, 2^5287968 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 5287968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936928).

5287968 is an abundant number, since it is smaller than the sum of its proper divisors (12585888).

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

5287968 is a wasteful number, since it uses less digits than its factorization.

5287968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5287968 is about 2299.5582184411. The cubic root of 5287968 is about 174.2193033471.

The spelling of 5287968 in words is "five million, two hundred eighty-seven thousand, nine hundred sixty-eight".