6553200 has 120 divisors (see below), whose sum is σ = 21649408. Its totient is φ = 1693440.

The previous prime is 6553187. The next prime is 6553213. The reversal of 6553200 is 23556.

It is an interprime number because it is at equal distance from previous prime (6553187) and next prime (6553213).

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51537 + ... + 51663.

Almost surely, 2^6553200 is an apocalyptic number.

6553200 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 6553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824704).

6553200 is an abundant number, since it is smaller than the sum of its proper divisors (15096208).

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

6553200 is a wasteful number, since it uses less digits than its factorization.

6553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 6553200 is about 2559.9218738079. The cubic root of 6553200 is about 187.1333278534.

Adding to 6553200 its reverse (23556), we get a palindrome (6576756).

The spelling of 6553200 in words is "six million, five hundred fifty-three thousand, two hundred".