58564224 has 96 divisors (see below), whose sum is σ = 174435300. Its totient is φ = 18837504.

The previous prime is 58564211. The next prime is 58564243. The reversal of 58564224 is 42246585.

It is a happy number.

58564224 is a `hidden beast` number, since 5 + 8 + 5 + 642 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53582400 + 4981824 = 7320^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 32532 + ... + 34284.

Almost surely, 2^58564224 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 58564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87217650).

58564224 is an abundant number, since it is smaller than the sum of its proper divisors (115871076).

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

58564224 is a wasteful number, since it uses less digits than its factorization.

58564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1787 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 58564224 is about 7652.7265729281. The cubic root of 58564224 is about 388.3388120005.

The spelling of 58564224 in words is "fifty-eight million, five hundred sixty-four thousand, two hundred twenty-four".