5205360 has 120 divisors (see below), whose sum is σ = 17280144. Its totient is φ = 1295360.

The previous prime is 5205341. The next prime is 5205367. The reversal of 5205360 is 635025.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126940 + ... + 126980.

Almost surely, 2^5205360 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 5205360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640072).

5205360 is an abundant number, since it is smaller than the sum of its proper divisors (12074784).

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

5205360 is a wasteful number, since it uses less digits than its factorization.

5205360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5205360 is about 2281.5258052453. The cubic root of 5205360 is about 173.3073268017.

It can be divided in two parts, 5205 and 360, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 5205360 in words is "five million, two hundred five thousand, three hundred sixty".