56580006 has 48 divisors (see below), whose sum is σ = 132378624. Its totient is φ = 16074576.

The previous prime is 56579987. The next prime is 56580011. The reversal of 56580006 is 60008565.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65131 + ... + 65993.

It is an arithmetic number, because the mean of its divisors is an integer number (2757888).

Almost surely, 2^56580006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56580006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

56580006 is an abundant number, since it is smaller than the sum of its proper divisors (75798618).

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

56580006 is a wasteful number, since it uses less digits than its factorization.

56580006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 56580006 is about 7521.9682264684. The cubic root of 56580006 is about 383.9025495987.

The spelling of 56580006 in words is "fifty-six million, five hundred eighty thousand, six".