58680960 has 128 divisors (see below), whose sum is σ = 201519360. Its totient is φ = 14438400.

The previous prime is 58680943. The next prime is 58680971. The reversal of 58680960 is 6908685.

It is a tau number, because it is divible by the number of its divisors (128).

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, 23785 + ... + 26135.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 2^58680960 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 58680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759680).

58680960 is an abundant number, since it is smaller than the sum of its proper divisors (142838400).

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

58680960 is a wasteful number, since it uses less digits than its factorization.

58680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 58680960 is about 7660.3498614619. The cubic root of 58680960 is about 388.5966658514.

The spelling of 58680960 in words is "fifty-eight million, six hundred eighty thousand, nine hundred sixty".