6553440 has 192 divisors, whose sum is σ = 24131520. Its totient is φ = 1658880.

The previous prime is 6553387. The next prime is 6553441. The reversal of 6553440 is 443556.

6553440 is a `hidden beast` number, since 655 + 3 + 4 + 4 + 0 = 666.

6553440 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6553441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159820 + ... + 159860.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 2^6553440 is an apocalyptic number.

6553440 is a gapful number since it is divisible by the number (60) 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 6553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

6553440 is an abundant number, since it is smaller than the sum of its proper divisors (17578080).

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

6553440 is a wasteful number, since it uses less digits than its factorization.

6553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6553440 is about 2559.9687498093. The cubic root of 6553440 is about 187.1356123073.

Adding to 6553440 its reverse (443556), we get a palindrome (6996996).

It can be divided in two parts, 655 and 3440, that added together give a triangular number (4095 = T₉₀).

The spelling of 6553440 in words is "six million, five hundred fifty-three thousand, four hundred forty".