6553664 has 28 divisors (see below), whose sum is σ = 14007084. Its totient is φ = 3024384.

The previous prime is 6553663. The next prime is 6553733. The reversal of 6553664 is 4663556.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 5569600 = 992^2 + 2360^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6553663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3107 + ... + 4770.

It is an arithmetic number, because the mean of its divisors is an integer number (500253).

Almost surely, 2^6553664 is an apocalyptic number.

6553664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6553664 is an abundant number, since it is smaller than the sum of its proper divisors (7453420).

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

6553664 is a wasteful number, since it uses less digits than its factorization.

6553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7892 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The square root of 6553664 is about 2560.0124999695. The cubic root of 6553664 is about 187.1377444140.

It can be divided in two parts, 65536 and 64, that multiplied together give a 22-nd power (4194304 = 2²²).

The spelling of 6553664 in words is "six million, five hundred fifty-three thousand, six hundred sixty-four".