58020560 has 80 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 20949504.

The previous prime is 58020539. The next prime is 58020563. The reversal of 58020560 is 6502085.

58020560 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 a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58020563) 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, 48287 + ... + 49473.

Almost surely, 2^58020560 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 58020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

58020560 is an abundant number, since it is smaller than the sum of its proper divisors (90469936).

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

58020560 is a wasteful number, since it uses less digits than its factorization.

58020560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 58020560 is about 7617.1228163920. The cubic root of 58020560 is about 387.1333972937.

The spelling of 58020560 in words is "fifty-eight million, twenty thousand, five hundred sixty".