58801360 has 40 divisors (see below), whose sum is σ = 137658600. Its totient is φ = 23357952.

The previous prime is 58801313. The next prime is 58801387. The reversal of 58801360 is 6310885.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 58798224 = 56^2 + 7668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9454 + ... + 14386.

It is an arithmetic number, because the mean of its divisors is an integer number (3441465).

Almost surely, 2^58801360 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 58801360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68829300).

58801360 is an abundant number, since it is smaller than the sum of its proper divisors (78857240).

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

58801360 is a wasteful number, since it uses less digits than its factorization.

58801360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 58801360 is about 7668.2044834498. The cubic root of 58801360 is about 388.8622549862.

The spelling of 58801360 in words is "fifty-eight million, eight hundred one thousand, three hundred sixty".