59980200 has 96 divisors (see below), whose sum is σ = 212516160. Its totient is φ = 13708800.

The previous prime is 59980189. The next prime is 59980201. The reversal of 59980200 is 208995.

59980200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (59980201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2941 + ... + 11340.

It is an arithmetic number, because the mean of its divisors is an integer number (2213710).

Almost surely, 2^59980200 is an apocalyptic number.

59980200 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 59980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106258080).

59980200 is an abundant number, since it is smaller than the sum of its proper divisors (152535960).

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

59980200 is a wasteful number, since it uses less digits than its factorization.

59980200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14307 (or 14298 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 59980200 is about 7744.6885024512. The cubic root of 59980200 is about 391.4436958350.

The spelling of 59980200 in words is "fifty-nine million, nine hundred eighty thousand, two hundred".