53607200 has 72 divisors (see below), whose sum is σ = 132249348. Its totient is φ = 21217280.

The previous prime is 53607173. The next prime is 53607241. The reversal of 53607200 is 270635.

53607200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7203856 + 46403344 = 2684^2 + 6812^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90104 + ... + 90696.

Almost surely, 2^53607200 is an apocalyptic number.

53607200 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 53607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66124674).

53607200 is an abundant number, since it is smaller than the sum of its proper divisors (78642148).

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

53607200 is a wasteful number, since it uses less digits than its factorization.

53607200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 53607200 is about 7321.6937931055. The cubic root of 53607200 is about 377.0576078689.

Adding to 53607200 its reverse (270635), we get a palindrome (53877835).

The spelling of 53607200 in words is "fifty-three million, six hundred seven thousand, two hundred".