4061200 has 120 divisors (see below), whose sum is σ = 11624256. Its totient is φ = 1344000.

The previous prime is 4061191. The next prime is 4061203. The reversal of 4061200 is 21604.

4061200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (4061203) 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, 57165 + ... + 57235.

Almost surely, 2^4061200 is an apocalyptic number.

4061200 is a gapful number since it is divisible by the number (40) 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 4061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128).

4061200 is an abundant number, since it is smaller than the sum of its proper divisors (7563056).

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

4061200 is a wasteful number, since it uses less digits than its factorization.

4061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4061200 is about 2015.2419209614. The cubic root of 4061200 is about 159.5455856442.

Adding to 4061200 its reverse (21604), we get a palindrome (4082804).

The spelling of 4061200 in words is "four million, sixty-one thousand, two hundred".