5285640 has 64 divisors (see below), whose sum is σ = 16796160. Its totient is φ = 1326080.

The previous prime is 5285611. The next prime is 5285647. The reversal of 5285640 is 465825.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5285598 and 5285607.

It is not an unprimeable number, because it can be changed into a prime (5285647) 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, 745 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (262440).

Almost surely, 2^5285640 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 5285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398080).

5285640 is an abundant number, since it is smaller than the sum of its proper divisors (11510520).

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

5285640 is a wasteful number, since it uses less digits than its factorization.

5285640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5285640 is about 2299.0519785338. The cubic root of 5285640 is about 174.1937332181.

The spelling of 5285640 in words is "five million, two hundred eighty-five thousand, six hundred forty".