6430872 has 64 divisors (see below), whose sum is σ = 18604800. Its totient is φ = 1814400.

The previous prime is 6430849. The next prime is 6430883. The reversal of 6430872 is 2780346.

It is a super-2 number, since 2×6430872² = 82712229360768, which contains 22 as substring.

It is a d-powerful number, because it can be written as 6⁸ + 4¹¹ + 3¹² + 0 + 8³ + 7⁵ + 2¹³ .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16779 + ... + 17157.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 2^6430872 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 6430872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302400).

6430872 is an abundant number, since it is smaller than the sum of its proper divisors (12173928).

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

6430872 is a wasteful number, since it uses less digits than its factorization.

6430872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6430872 is about 2535.9164024076. The cubic root of 6430872 is about 185.9616061348.

The spelling of 6430872 in words is "six million, four hundred thirty thousand, eight hundred seventy-two".