58690080 has 144 divisors (see below), whose sum is σ = 204324120. Its totient is φ = 15335424.

The previous prime is 58690063. The next prime is 58690081. The reversal of 58690080 is 8009685.

58690080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49617936 + 9072144 = 7044^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (58690081) 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 23 ways as a sum of consecutive naturals, for example, 75936 + ... + 76704.

Almost surely, 2^58690080 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 58690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102162060).

58690080 is an abundant number, since it is smaller than the sum of its proper divisors (145634040).

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

58690080 is a wasteful number, since it uses less digits than its factorization.

58690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 58690080 is about 7660.9451114076. The cubic root of 58690080 is about 388.6167962765.

The spelling of 58690080 in words is "fifty-eight million, six hundred ninety thousand, eighty".