58006080 has 168 divisors, whose sum is σ = 217773504. Its totient is φ = 14054400.

The previous prime is 58006043. The next prime is 58006087. The reversal of 58006080 is 8060085.

58006080 is a `hidden beast` number, since 58 + 0 + 0 + 608 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (58006087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30765 + ... + 32595.

Almost surely, 2^58006080 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 58006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108886752).

58006080 is an abundant number, since it is smaller than the sum of its proper divisors (159767424).

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

58006080 is a wasteful number, since it uses less digits than its factorization.

58006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58006080 is about 7616.1722669593. The cubic root of 58006080 is about 387.1011894120.

The spelling of 58006080 in words is "fifty-eight million, six thousand, eighty".