53845120 has 192 divisors, whose sum is σ = 160117560. Its totient is φ = 17203200.

The previous prime is 53845117. The next prime is 53845133. The reversal of 53845120 is 2154835.

It can be written as a sum of positive squares in 4 ways, for example, as 53816896 + 28224 = 7336^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 533070 + ... + 533170.

Almost surely, 2^53845120 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 53845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80058780).

53845120 is an abundant number, since it is smaller than the sum of its proper divisors (106272440).

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

53845120 is a wasteful number, since it uses less digits than its factorization.

53845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 53845120 is about 7337.9234119743. The cubic root of 53845120 is about 377.6146049125.

Adding to 53845120 its reverse (2154835), we get a palindrome (55999955).

The spelling of 53845120 in words is "fifty-three million, eight hundred forty-five thousand, one hundred twenty".