58066200 has 96 divisors (see below), whose sum is σ = 200024400. Its totient is φ = 15482880.

The previous prime is 58066199. The next prime is 58066201. The reversal of 58066200 is 266085.

58066200 is a `hidden beast` number, since 580 + 66 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58066199) and next prime (58066201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58066201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24 + ... + 10776.

Almost surely, 2^58066200 is an apocalyptic number.

58066200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100012200).

58066200 is an abundant number, since it is smaller than the sum of its proper divisors (141958200).

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

58066200 is a wasteful number, since it uses less digits than its factorization.

58066200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 58066200 is about 7620.1181093209. The cubic root of 58066200 is about 387.2348793512.

The spelling of 58066200 in words is "fifty-eight million, sixty-six thousand, two hundred".