60205200 has 120 divisors (see below), whose sum is σ = 210435936. Its totient is φ = 14592000.

The previous prime is 60205181. The next prime is 60205213. The reversal of 60205200 is 250206.

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

It is a super-2 number, since 2×60205200² = 7249332214080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 60205200.

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 23 ways as a sum of consecutive naturals, for example, 10920 + ... + 15480.

Almost surely, 2^60205200 is an apocalyptic number.

60205200 is a gapful number since it is divisible by the number (60) 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 60205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105217968).

60205200 is an abundant number, since it is smaller than the sum of its proper divisors (150230736).

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

60205200 is a wasteful number, since it uses less digits than its factorization.

60205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 60205200 is about 7759.2009897927. The cubic root of 60205200 is about 391.9325512163.

Adding to 60205200 its reverse (250206), we get a palindrome (60455406).

The spelling of 60205200 in words is "sixty million, two hundred five thousand, two hundred".