5218560 has 144 divisors (see below), whose sum is σ = 18641280. Its totient is φ = 1382400.

The previous prime is 5218553. The next prime is 5218567. The reversal of 5218560 is 658125.

5218560 is a `hidden beast` number, since 521 + 85 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5218553) and next prime (5218567).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5218567) 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, 34485 + ... + 34635.

Almost surely, 2^5218560 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 5218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9320640).

5218560 is an abundant number, since it is smaller than the sum of its proper divisors (13422720).

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

5218560 is a wasteful number, since it uses less digits than its factorization.

5218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5218560 is about 2284.4167745838. The cubic root of 5218560 is about 173.4536968073.

It can be divided in two parts, 5218 and 560, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 5218560 in words is "five million, two hundred eighteen thousand, five hundred sixty".