53845344 has 192 divisors, whose sum is σ = 186278400. Its totient is φ = 14805504.

The previous prime is 53845343. The next prime is 53845349. The reversal of 53845344 is 44354835.

53845344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53845299 and 53845308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53845343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 175239 + ... + 175545.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 2^53845344 is an apocalyptic number.

53845344 is a gapful number since it is divisible by the number (54) 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 53845344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

53845344 is an abundant number, since it is smaller than the sum of its proper divisors (132433056).

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

53845344 is a wasteful number, since it uses less digits than its factorization.

53845344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 53845344 is about 7337.9386751321. The cubic root of 53845344 is about 377.6151285474.

The spelling of 53845344 in words is "fifty-three million, eight hundred forty-five thousand, three hundred forty-four".