6553872 has 100 divisors (see below), whose sum is σ = 20480460. Its totient is φ = 2011392.

The previous prime is 6553817. The next prime is 6553889. The reversal of 6553872 is 2783556.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 5308416 = 1116^2 + 2304^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16654 + ... + 17042.

Almost surely, 2^6553872 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 6553872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10240230).

6553872 is an abundant number, since it is smaller than the sum of its proper divisors (13926588).

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

6553872 is a wasteful number, since it uses less digits than its factorization.

6553872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 6553872 is about 2560.0531244488. The cubic root of 6553872 is about 187.1397241838.

It can be divided in two parts, 6 and 553872, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 6553872 in words is "six million, five hundred fifty-three thousand, eight hundred seventy-two".