5582880 has 72 divisors (see below), whose sum is σ = 19056492. Its totient is φ = 1488384.

The previous prime is 5582879. The next prime is 5582891. The reversal of 5582880 is 882855.

5582880 is a `hidden beast` number, since 558 + 28 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5363856 + 219024 = 2316^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499 + ... + 3378.

Almost surely, 2^5582880 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 5582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528246).

5582880 is an abundant number, since it is smaller than the sum of its proper divisors (13473612).

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

5582880 is a wasteful number, since it uses less digits than its factorization.

5582880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5582880 is about 2362.8118841753. The cubic root of 5582880 is about 177.3996523327.

The spelling of 5582880 in words is "five million, five hundred eighty-two thousand, eight hundred eighty".