5838560 has 96 divisors (see below), whose sum is σ = 17019072. Its totient is φ = 1843200.

The previous prime is 5838557. The next prime is 5838587. The reversal of 5838560 is 658385.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5838560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14360 + ... + 14760.

It is an arithmetic number, because the mean of its divisors is an integer number (177282).

Almost surely, 2^5838560 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 5838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509536).

5838560 is an abundant number, since it is smaller than the sum of its proper divisors (11180512).

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

5838560 is a wasteful number, since it uses less digits than its factorization.

5838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 5838560 is about 2416.3112382307. The cubic root of 5838560 is about 180.0674644230.

The spelling of 5838560 in words is "five million, eight hundred thirty-eight thousand, five hundred sixty".