6421600 has 72 divisors (see below), whose sum is σ = 16405200. Its totient is φ = 2449920.

The previous prime is 6421589. The next prime is 6421637. The reversal of 6421600 is 61246.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18226 + ... + 18574.

It is an arithmetic number, because the mean of its divisors is an integer number (227850).

Almost surely, 2^6421600 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 6421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202600).

6421600 is an abundant number, since it is smaller than the sum of its proper divisors (9983600).

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

6421600 is a wasteful number, since it uses less digits than its factorization.

6421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 6421600 is about 2534.0876070097. The cubic root of 6421600 is about 185.8721903012.

Adding to 6421600 its reverse (61246), we get a palindrome (6482846).

It can be divided in two parts, 6421 and 600, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 6421600 in words is "six million, four hundred twenty-one thousand, six hundred".