5874560 has 64 divisors (see below), whose sum is σ = 14357520. Its totient is φ = 2297856.

The previous prime is 5874509. The next prime is 5874563. The reversal of 5874560 is 654785.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5874560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5874563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42812 + ... + 42948.

Almost surely, 2^5874560 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 5874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178760).

5874560 is an abundant number, since it is smaller than the sum of its proper divisors (8482960).

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

5874560 is a wasteful number, since it uses less digits than its factorization.

5874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 5874560 is about 2423.7491619390. The cubic root of 5874560 is about 180.4367992605.

The spelling of 5874560 in words is "five million, eight hundred seventy-four thousand, five hundred sixty".