4200660 has 60 divisors (see below), whose sum is σ = 13182708. Its totient is φ = 1119744.

The previous prime is 4200629. The next prime is 4200661. The reversal of 4200660 is 660024.

4200660 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 660 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 2178576 = 1422^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

4200660 is a modest number, since divided by 660 gives 420 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 324 + ... + 2916.

Almost surely, 2^4200660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591354).

4200660 is an abundant number, since it is smaller than the sum of its proper divisors (8982048).

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

4200660 is a wasteful number, since it uses less digits than its factorization.

4200660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4200660 is about 2049.5511703785. The cubic root of 4200660 is about 161.3513154527.

Adding to 4200660 its reverse (660024), we get a palindrome (4860684).

The spelling of 4200660 in words is "four million, two hundred thousand, six hundred sixty".