5085360 has 120 divisors (see below), whose sum is σ = 19537440. Its totient is φ = 1161216.

The previous prime is 5085359. The next prime is 5085361. The reversal of 5085360 is 635805.

It is an interprime number because it is at equal distance from previous prime (5085359) and next prime (5085361).

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4536 + ... + 5544.

It is an arithmetic number, because the mean of its divisors is an integer number (162812).

Almost surely, 2^5085360 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 5085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9768720).

5085360 is an abundant number, since it is smaller than the sum of its proper divisors (14452080).

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

5085360 is a wasteful number, since it uses less digits than its factorization.

5085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5085360 is about 2255.0742781558. The cubic root of 5085360 is about 171.9651993772.

It can be divided in two parts, 5085 and 360, that added together give a palindrome (5445).

The spelling of 5085360 in words is "five million, eighty-five thousand, three hundred sixty".