5842560 has 128 divisors (see below), whose sum is σ = 19828800. Its totient is φ = 1458176.

The previous prime is 5842553. The next prime is 5842567. The reversal of 5842560 is 652485.

It is an interprime number because it is at equal distance from previous prime (5842553) and next prime (5842567).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5842567) 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, 32551 + ... + 32729.

Almost surely, 2^5842560 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 5842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9914400).

5842560 is an abundant number, since it is smaller than the sum of its proper divisors (13986240).

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

5842560 is a wasteful number, since it uses less digits than its factorization.

5842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5842560 is about 2417.1388044546. The cubic root of 5842560 is about 180.1085764685.

It can be divided in two parts, 58425 and 60, that added together give a palindrome (58485).

The spelling of 5842560 in words is "five million, eight hundred forty-two thousand, five hundred sixty".