58871680 has 128 divisors (see below), whose sum is σ = 170527680. Its totient is φ = 18972672.

The previous prime is 58871647. The next prime is 58871689. The reversal of 58871680 is 8617885.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58871689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75774 + ... + 76546.

Almost surely, 2^58871680 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 58871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85263840).

58871680 is an abundant number, since it is smaller than the sum of its proper divisors (111656000).

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

58871680 is a wasteful number, since it uses less digits than its factorization.

58871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The square root of 58871680 is about 7672.7882806709. The cubic root of 58871680 is about 389.0172054871.

The spelling of 58871680 in words is "fifty-eight million, eight hundred seventy-one thousand, six hundred eighty".