53606800 has 120 divisors (see below), whose sum is σ = 141805160. Its totient is φ = 19468800.

The previous prime is 53606783. The next prime is 53606849. The reversal of 53606800 is 860635.

53606800 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 12 ways, for example, as 50466816 + 3139984 = 7104^2 + 1772^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 878770 + ... + 878830.

Almost surely, 2^53606800 is an apocalyptic number.

53606800 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 53606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70902580).

53606800 is an abundant number, since it is smaller than the sum of its proper divisors (88198360).

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

53606800 is a wasteful number, since it uses less digits than its factorization.

53606800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 53606800 is about 7321.6664769709. Note that the first 3 decimals coincide. The cubic root of 53606800 is about 377.0566700383.

The spelling of 53606800 in words is "fifty-three million, six hundred six thousand, eight hundred".