5653200 has 120 divisors (see below), whose sum is σ = 20726848. Its totient is φ = 1290240.

The previous prime is 5653189. The next prime is 5653201. The reversal of 5653200 is 23565.

Added to its reverse (23565) it gives a triangular number (5676765 = T₃₃₆₉).

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5653201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8064 + ... + 8736.

Almost surely, 2^5653200 is an apocalyptic number.

5653200 is a gapful number since it is divisible by the number (50) 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 5653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10363424).

5653200 is an abundant number, since it is smaller than the sum of its proper divisors (15073648).

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

5653200 is a wasteful number, since it uses less digits than its factorization.

5653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

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

The square root of 5653200 is about 2377.6458945772. The cubic root of 5653200 is about 178.1413681481.

Adding to 5653200 its reverse (23565), we get a palindrome (5676765).

The spelling of 5653200 in words is "five million, six hundred fifty-three thousand, two hundred".