58224960 has 224 divisors, whose sum is σ = 215066880. Its totient is φ = 14800896.

The previous prime is 58224923. The next prime is 58224977. The reversal of 58224960 is 6942285.

It is a happy number.

It is a super-3 number, since 3×58224960³ (a number of 24 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 198574 + ... + 198866.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 2^58224960 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 58224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

58224960 is an abundant number, since it is smaller than the sum of its proper divisors (156841920).

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

58224960 is a wasteful number, since it uses less digits than its factorization.

58224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 58224960 is about 7630.5281599638. The cubic root of 58224960 is about 387.5874738353.

The spelling of 58224960 in words is "fifty-eight million, two hundred twenty-four thousand, nine hundred sixty".