53820544 has 48 divisors (see below), whose sum is σ = 109971810. Its totient is φ = 26234880.

The previous prime is 53820541. The next prime is 53820581. The reversal of 53820544 is 44502835.

It can be written as a sum of positive squares in 3 ways, for example, as 3240000 + 50580544 = 1800^2 + 7112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53820541) 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 5 ways as a sum of consecutive naturals, for example, 476232 + ... + 476344.

Almost surely, 2^53820544 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 53820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54985905).

53820544 is an abundant number, since it is smaller than the sum of its proper divisors (56151266).

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

53820544 is an equidigital number, since it uses as much as digits as its factorization.

53820544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 53820544 is about 7336.2486326460. The cubic root of 53820544 is about 377.5571458596.

The spelling of 53820544 in words is "fifty-three million, eight hundred twenty thousand, five hundred forty-four".