5611680 has 120 divisors (see below), whose sum is σ = 19850292. Its totient is φ = 1492992.

The previous prime is 5611663. The next prime is 5611681. The reversal of 5611680 is 861165.

5611680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 467856 = 2268^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5611681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12744 + ... + 13176.

Almost surely, 2^5611680 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 5611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925146).

5611680 is an abundant number, since it is smaller than the sum of its proper divisors (14238612).

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

5611680 is a wasteful number, since it uses less digits than its factorization.

5611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5611680 is about 2368.8984781961. The cubic root of 5611680 is about 177.7041755505.

The spelling of 5611680 in words is "five million, six hundred eleven thousand, six hundred eighty".