58025760 has 192 divisors, whose sum is σ = 208801152. Its totient is φ = 13418496.

The previous prime is 58025749. The next prime is 58025761. The reversal of 58025760 is 6752085.

It is a happy number.

58025760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58025761) 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 31 ways as a sum of consecutive naturals, for example, 105807 + ... + 106353.

It is an arithmetic number, because the mean of its divisors is an integer number (1087506).

Almost surely, 2^58025760 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 58025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104400576).

58025760 is an abundant number, since it is smaller than the sum of its proper divisors (150775392).

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

58025760 is a wasteful number, since it uses less digits than its factorization.

58025760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 58025760 is about 7617.4641449763. The cubic root of 58025760 is about 387.1449623523.

It can be divided in two parts, 58025 and 760, that added together give a palindrome (58785).

The spelling of 58025760 in words is "fifty-eight million, twenty-five thousand, seven hundred sixty".