5186560 has 44 divisors (see below), whose sum is σ = 12453948. Its totient is φ = 2072576.

The previous prime is 5186557. The next prime is 5186603. The reversal of 5186560 is 656815.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 4596736 = 768^2 + 2144^2 .

It is a super-3 number, since 3×5186560³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4614 + ... + 5626.

Almost surely, 2^5186560 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 5186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226974).

5186560 is an abundant number, since it is smaller than the sum of its proper divisors (7267388).

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

5186560 is a wasteful number, since it uses less digits than its factorization.

5186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 5186560 is about 2277.4020286282. The cubic root of 5186560 is about 173.0984326290.

The spelling of 5186560 in words is "five million, one hundred eighty-six thousand, five hundred sixty".