5760560 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 2042880.

The previous prime is 5760551. The next prime is 5760571. The reversal of 5760560 is 650675.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 30065 + ... + 30255.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^5760560 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 5760560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5760560 is an abundant number, since it is smaller than the sum of its proper divisors (9238480).

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

5760560 is a wasteful number, since it uses less digits than its factorization.

5760560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 5760560 is about 2400.1166638312. The cubic root of 5760560 is about 179.2619989024.

The spelling of 5760560 in words is "five million, seven hundred sixty thousand, five hundred sixty".