6553768 has 64 divisors (see below), whose sum is σ = 14288400. Its totient is φ = 2795520.

The previous prime is 6553733. The next prime is 6553769. The reversal of 6553768 is 8673556.

It can be written as a sum of positive squares in 8 ways, for example, as 1162084 + 5391684 = 1078^2 + 2322^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6553768.

It is not an unprimeable number, because it can be changed into a prime (6553769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123630 + ... + 123682.

Almost surely, 2^6553768 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 6553768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144200).

6553768 is an abundant number, since it is smaller than the sum of its proper divisors (7734632).

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

6553768 is a wasteful number, since it uses less digits than its factorization.

6553768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 6553768 is about 2560.0328122897. The cubic root of 6553768 is about 187.1387343042.

The spelling of 6553768 in words is "six million, five hundred fifty-three thousand, seven hundred sixty-eight".