5353600 has 96 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1827840.

The previous prime is 5353597. The next prime is 5353609. The reversal of 5353600 is 63535.

It is a super-2 number, since 2×5353600² = 57322065920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5353609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22281 + ... + 22519.

It is an arithmetic number, because the mean of its divisors is an integer number (158100).

Almost surely, 2^5353600 is an apocalyptic number.

5353600 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 5353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

5353600 is an abundant number, since it is smaller than the sum of its proper divisors (9824000).

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

5353600 is a wasteful number, since it uses less digits than its factorization.

5353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 5353600 is about 2313.7847782367. The cubic root of 5353600 is about 174.9371202664.

The spelling of 5353600 in words is "five million, three hundred fifty-three thousand, six hundred".