58680512 has 112 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 24422400.

The previous prime is 58680497. The next prime is 58680527. The reversal of 58680512 is 21508685.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58680497) and next prime (58680527).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548363 + ... + 548469.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^58680512 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 58680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

58680512 is an abundant number, since it is smaller than the sum of its proper divisors (79576768).

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

58680512 is a wasteful number, since it uses less digits than its factorization.

58680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 58680512 is about 7660.3206199219. The cubic root of 58680512 is about 388.5956769346.

The spelling of 58680512 in words is "fifty-eight million, six hundred eighty thousand, five hundred twelve".