58066560 has 192 divisors, whose sum is σ = 212663880. Its totient is φ = 14548992.

The previous prime is 58066553. The next prime is 58066621. The reversal of 58066560 is 6566085.

It can be written as a sum of positive squares in 4 ways, for example, as 54287424 + 3779136 = 7368^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97624 + ... + 98216.

Almost surely, 2^58066560 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 58066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106331940).

58066560 is an abundant number, since it is smaller than the sum of its proper divisors (154597320).

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

58066560 is a wasteful number, since it uses less digits than its factorization.

58066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 58066560 is about 7620.1417309654. The cubic root of 58066560 is about 387.2356796117.

The spelling of 58066560 in words is "fifty-eight million, sixty-six thousand, five hundred sixty".