5611760 has 80 divisors (see below), whose sum is σ = 16284672. Its totient is φ = 1747200.

The previous prime is 5611759. The next prime is 5611763. The reversal of 5611760 is 671165.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5611763) 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, 5705 + ... + 6615.

Almost surely, 2^5611760 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 5611760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142336).

5611760 is an abundant number, since it is smaller than the sum of its proper divisors (10672912).

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

5611760 is a wasteful number, since it uses less digits than its factorization.

5611760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 5611760 is about 2368.9153636211. The cubic root of 5611760 is about 177.7050199955.

The spelling of 5611760 in words is "five million, six hundred eleven thousand, seven hundred sixty".