5288960 has 44 divisors (see below), whose sum is σ = 12699588. Its totient is φ = 2113536.

The previous prime is 5288953. The next prime is 5288963. The reversal of 5288960 is 698825.

It can be written as a sum of positive squares in 2 ways, for example, as 3810304 + 1478656 = 1952^2 + 1216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4604 + ... + 5636.

It is an arithmetic number, because the mean of its divisors is an integer number (288627).

Almost surely, 2^5288960 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 5288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349794).

5288960 is an abundant number, since it is smaller than the sum of its proper divisors (7410628).

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

5288960 is a wasteful number, since it uses less digits than its factorization.

5288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 5288960 is about 2299.7739019304. The cubic root of 5288960 is about 174.2301969293.

The spelling of 5288960 in words is "five million, two hundred eighty-eight thousand, nine hundred sixty".