58561344 has 84 divisors (see below), whose sum is σ = 176723040. Its totient is φ = 18489600.

The previous prime is 58561339. The next prime is 58561367. The reversal of 58561344 is 44316585.

It is a happy number.

58561344 is a `hidden beast` number, since 58 + 561 + 3 + 44 = 666.

58561344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58561344² = 6858862022172672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58561299 and 58561308.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8269 + ... + 13619.

Almost surely, 2^58561344 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 58561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88361520).

58561344 is an abundant number, since it is smaller than the sum of its proper divisors (118161696).

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

58561344 is a wasteful number, since it uses less digits than its factorization.

58561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5375 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 58561344 is about 7652.5384023865. The cubic root of 58561344 is about 388.3324461452.

The spelling of 58561344 in words is "fifty-eight million, five hundred sixty-one thousand, three hundred forty-four".