53381920 has 48 divisors (see below), whose sum is σ = 129064320. Its totient is φ = 20853504.

The previous prime is 53381903. The next prime is 53381929. The reversal of 53381920 is 2918335.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53381929) 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 7 ways as a sum of consecutive naturals, for example, 3001 + ... + 10759.

It is an arithmetic number, because the mean of its divisors is an integer number (2688840).

Almost surely, 2^53381920 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 53381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64532160).

53381920 is an abundant number, since it is smaller than the sum of its proper divisors (75682400).

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

53381920 is a wasteful number, since it uses less digits than its factorization.

53381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 53381920 is about 7306.2931778023. The cubic root of 53381920 is about 376.5286813691.

The spelling of 53381920 in words is "fifty-three million, three hundred eighty-one thousand, nine hundred twenty".