53831920 has 80 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 20719872.

The previous prime is 53831909. The next prime is 53831963. The reversal of 53831920 is 2913835.

It is a happy number.

53831920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-5 number, since 5×53831920⁵ (a number of 40 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 387211 + ... + 387349.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^53831920 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 53831920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

53831920 is an abundant number, since it is smaller than the sum of its proper divisors (76159760).

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

53831920 is a wasteful number, since it uses less digits than its factorization.

53831920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

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

The square root of 53831920 is about 7337.0239198193. The cubic root of 53831920 is about 377.5837452904.

The spelling of 53831920 in words is "fifty-three million, eight hundred thirty-one thousand, nine hundred twenty".