58666320 has 120 divisors (see below), whose sum is σ = 208654056. Its totient is φ = 14721024.

The previous prime is 58666313. The next prime is 58666327. The reversal of 58666320 is 2366685.

It is an interprime number because it is at equal distance from previous prime (58666313) and next prime (58666327).

It can be written as a sum of positive squares in 4 ways, for example, as 22810176 + 35856144 = 4776^2 + 5988^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58666327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9844 + ... + 14636.

Almost surely, 2^58666320 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 58666320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104327028).

58666320 is an abundant number, since it is smaller than the sum of its proper divisors (149987736).

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

58666320 is a wasteful number, since it uses less digits than its factorization.

58666320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 58666320 is about 7659.3942319220. The cubic root of 58666320 is about 388.5643468597.

The spelling of 58666320 in words is "fifty-eight million, six hundred sixty-six thousand, three hundred twenty".