6552000 has 336 divisors, whose sum is σ = 28846272. Its totient is φ = 1382400.

The previous prime is 6551989. The next prime is 6552001. The reversal of 6552000 is 2556.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503994 + ... + 504006.

It is an arithmetic number, because the mean of its divisors is an integer number (85852).

Almost surely, 2^6552000 is an apocalyptic number.

6552000 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 6552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423136).

6552000 is an abundant number, since it is smaller than the sum of its proper divisors (22294272).

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

6552000 is a wasteful number, since it uses less digits than its factorization.

6552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 6552000 is about 2559.6874809242. The cubic root of 6552000 is about 187.1219047470.

Adding to 6552000 its reverse (2556), we get a palindrome (6554556).

The spelling of 6552000 in words is "six million, five hundred fifty-two thousand".