6461100 has 72 divisors (see below), whose sum is σ = 20779920. Its totient is φ = 1722240.

The previous prime is 6461099. The next prime is 6461107. The reversal of 6461100 is 11646.

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

It is not an unprimeable number, because it can be changed into a prime (6461107) 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, 1504 + ... + 3896.

It is an arithmetic number, because the mean of its divisors is an integer number (288610).

Almost surely, 2^6461100 is an apocalyptic number.

6461100 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 6461100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389960).

6461100 is an abundant number, since it is smaller than the sum of its proper divisors (14318820).

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

6461100 is a wasteful number, since it uses less digits than its factorization.

6461100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6461100 is about 2541.8693908224. The cubic root of 6461100 is about 186.2525186213.

Adding to 6461100 its reverse (11646), we get a palindrome (6472746).

It can be divided in two parts, 6461 and 100, that added together give a 8-th power (6561 = 3⁸).

The spelling of 6461100 in words is "six million, four hundred sixty-one thousand, one hundred".