5305560 has 128 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 1230336.

The previous prime is 5305543. The next prime is 5305577. The reversal of 5305560 is 655035.

It is an interprime number because it is at equal distance from previous prime (5305543) and next prime (5305577).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5305560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29551 + ... + 29729.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 2^5305560 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 5305560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

5305560 is an abundant number, since it is smaller than the sum of its proper divisors (12838440).

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

5305560 is a wasteful number, since it uses less digits than its factorization.

5305560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 5305560 is about 2303.3801249468. The cubic root of 5305560 is about 174.4122869608.

The spelling of 5305560 in words is "five million, three hundred five thousand, five hundred sixty".