6441100 has 36 divisors (see below), whose sum is σ = 14327208. Its totient is φ = 2512000.

The previous prime is 6441077. The next prime is 6441101. The reversal of 6441100 is 11446.

It is a happy number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6441101) 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, 3315 + ... + 4885.

It is an arithmetic number, because the mean of its divisors is an integer number (397978).

Almost surely, 2^6441100 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 6441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163604).

6441100 is an abundant number, since it is smaller than the sum of its proper divisors (7886108).

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

6441100 is a wasteful number, since it uses less digits than its factorization.

6441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6441100 is about 2537.9322291976. The cubic root of 6441100 is about 186.0601416492.

Adding to 6441100 its reverse (11446), we get a palindrome (6452546).

The spelling of 6441100 in words is "six million, four hundred forty-one thousand, one hundred".