58084200 has 216 divisors, whose sum is σ = 207258870. Its totient is φ = 14572800.

The previous prime is 58084193. The next prime is 58084207. The reversal of 58084200 is 248085.

58084200 is a `hidden beast` number, since 580 + 84 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58084193) and next prime (58084207).

It can be written as a sum of positive squares in 3 ways, for example, as 26071236 + 32012964 = 5106^2 + 5658^2 .

It is not an unprimeable number, because it can be changed into a prime (58084207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 952170 + ... + 952230.

Almost surely, 2^58084200 is an apocalyptic number.

58084200 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 58084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103629435).

58084200 is an abundant number, since it is smaller than the sum of its proper divisors (149174670).

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

58084200 is a wasteful number, since it uses less digits than its factorization.

58084200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 58084200 is about 7621.2991018592. The cubic root of 58084200 is about 387.2748883278.

The spelling of 58084200 in words is "fifty-eight million, eighty-four thousand, two hundred".