53875600 has 45 divisors (see below), whose sum is σ = 129789777. Its totient is φ = 21491520.

The previous prime is 53875579. The next prime is 53875607. The reversal of 53875600 is 657835.

It is a happy number.

The square root of 53875600 is 7340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19395216 + 34480384 = 4404^2 + 5872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53875607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 146617 + ... + 146983.

Almost surely, 2^53875600 is an apocalyptic number.

53875600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53875600 is the 7340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53875600

53875600 is an abundant number, since it is smaller than the sum of its proper divisors (75914177).

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

53875600 is an equidigital number, since it uses as much as digits as its factorization.

53875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The cubic root of 53875600 is about 377.6858433217.

The spelling of 53875600 in words is "fifty-three million, eight hundred seventy-five thousand, six hundred".