5626080 has 72 divisors (see below), whose sum is σ = 19203912. Its totient is φ = 1499904.

The previous prime is 5626079. The next prime is 5626129. The reversal of 5626080 is 806265.

5626080 is a `hidden beast` number, since 56 + 2 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514 + ... + 3393.

It is an arithmetic number, because the mean of its divisors is an integer number (266721).

Almost surely, 2^5626080 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 5626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601956).

5626080 is an abundant number, since it is smaller than the sum of its proper divisors (13577832).

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

5626080 is a wasteful number, since it uses less digits than its factorization.

5626080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5626080 is about 2371.9359181900. The cubic root of 5626080 is about 177.8560465547.

The spelling of 5626080 in words is "five million, six hundred twenty-six thousand, eighty".