58133680 has 80 divisors (see below), whose sum is σ = 152275968. Its totient is φ = 20448000.

The previous prime is 58133653. The next prime is 58133683. The reversal of 58133680 is 8633185.

It is a happy number.

58133680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (58133683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26215 + ... + 28345.

Almost surely, 2^58133680 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 58133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76137984).

58133680 is an abundant number, since it is smaller than the sum of its proper divisors (94142288).

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

58133680 is a wasteful number, since it uses less digits than its factorization.

58133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 58133680 is about 7624.5445765632. The cubic root of 58133680 is about 387.3848259860.

The spelling of 58133680 in words is "fifty-eight million, one hundred thirty-three thousand, six hundred eighty".