6463872 has 96 divisors (see below), whose sum is σ = 19306560. Its totient is φ = 2073600.

The previous prime is 6463871. The next prime is 6463879. The reversal of 6463872 is 2783646.

6463872 is a `hidden beast` number, since 646 + 3 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6³ + 4⁵ + 6⁸ + 3¹⁴ + 8 + 7 + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6463871) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35622 + ... + 35802.

It is an arithmetic number, because the mean of its divisors is an integer number (201110).

Almost surely, 2^6463872 is an apocalyptic number.

6463872 is a gapful number since it is divisible by the number (62) 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 6463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653280).

6463872 is an abundant number, since it is smaller than the sum of its proper divisors (12842688).

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

6463872 is a wasteful number, since it uses less digits than its factorization.

6463872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6463872 is about 2542.4146003357. The cubic root of 6463872 is about 186.2791507306.

It can be divided in two parts, 64 and 63872, that added together give a palindrome (63936).

The spelling of 6463872 in words is "six million, four hundred sixty-three thousand, eight hundred seventy-two".