4068100 has 36 divisors (see below), whose sum is σ = 9350964. Its totient is φ = 1530880.

The previous prime is 4068073. The next prime is 4068107. The reversal of 4068100 is 18604.

It can be written as a sum of positive squares in 6 ways, for example, as 389376 + 3678724 = 624^2 + 1918^2 .

It is a super-2 number, since 2×4068100² = 33098875220000, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4068107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504 + ... + 2896.

It is an arithmetic number, because the mean of its divisors is an integer number (259749).

Almost surely, 2^4068100 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 4068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675482).

4068100 is an abundant number, since it is smaller than the sum of its proper divisors (5282864).

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

4068100 is a wasteful number, since it uses less digits than its factorization.

4068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4068100 is about 2016.9531476958. The cubic root of 4068100 is about 159.6358907815.

The spelling of 4068100 in words is "four million, sixty-eight thousand, one hundred".