5286960 has 120 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 1207296.

The previous prime is 5286947. The next prime is 5286971. The reversal of 5286960 is 696825.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 4516 + ... + 5564.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^5286960 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 5286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

5286960 is an abundant number, since it is smaller than the sum of its proper divisors (15024240).

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

5286960 is a wasteful number, since it uses less digits than its factorization.

5286960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1066 counting only the distinct ones).

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

The square root of 5286960 is about 2299.3390354621. The cubic root of 5286960 is about 174.2082326663.

The spelling of 5286960 in words is "five million, two hundred eighty-six thousand, nine hundred sixty".