53810820 has 108 divisors (see below), whose sum is σ = 189906444. Its totient is φ = 12297600.

The previous prime is 53810807. The next prime is 53810821. The reversal of 53810820 is 2801835.

It is a happy number.

53810820 is a `hidden beast` number, since 538 + 108 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26687556 + 27123264 = 5166^2 + 5208^2 .

It is not an unprimeable number, because it can be changed into a prime (53810821) 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 35 ways as a sum of consecutive naturals, for example, 5770 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (1758393).

Almost surely, 2^53810820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53810820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94953222).

53810820 is an abundant number, since it is smaller than the sum of its proper divisors (136095624).

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

53810820 is a wasteful number, since it uses less digits than its factorization.

53810820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 53810820 is about 7335.5858661732. The cubic root of 53810820 is about 377.5344061736.

The spelling of 53810820 in words is "fifty-three million, eight hundred ten thousand, eight hundred twenty".