53723920 has 80 divisors (see below), whose sum is σ = 129389040. Its totient is φ = 20736000.

The previous prime is 53723911. The next prime is 53723941. The reversal of 53723920 is 2932735.

It can be written as a sum of positive squares in 8 ways, for example, as 24336 + 53699584 = 156^2 + 7328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 492826 + ... + 492934.

It is an arithmetic number, because the mean of its divisors is an integer number (1617363).

Almost surely, 2^53723920 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 53723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64694520).

53723920 is an abundant number, since it is smaller than the sum of its proper divisors (75665120).

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

53723920 is a wasteful number, since it uses less digits than its factorization.

53723920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 53723920 is about 7329.6602922646. The cubic root of 53723920 is about 377.3310677846.

The spelling of 53723920 in words is "fifty-three million, seven hundred twenty-three thousand, nine hundred twenty".