5660880 has 80 divisors (see below), whose sum is σ = 17796480. Its totient is φ = 1488384.

The previous prime is 5660869. The next prime is 5660899. The reversal of 5660880 is 880665.

5660880 = T₃₆ + T₃₇ + ... + T₃₂₃.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 24606 + ... + 24834.

It is an arithmetic number, because the mean of its divisors is an integer number (222456).

Almost surely, 2^5660880 is an apocalyptic number.

5660880 is the 1374-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5660880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898240).

5660880 is an abundant number, since it is smaller than the sum of its proper divisors (12135600).

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

5660880 is a wasteful number, since it uses less digits than its factorization.

5660880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5660880 is about 2379.2603892807. The cubic root of 5660880 is about 178.2220013370. Note that the first 3 decimals are identical.

The spelling of 5660880 in words is "five million, six hundred sixty thousand, eight hundred eighty".