53821440 has 180 divisors, whose sum is σ = 189131124. Its totient is φ = 14155776.

The previous prime is 53821429. The next prime is 53821441. The reversal of 53821440 is 4412835.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 28901376 = 4992^2 + 5376^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53821441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737244 + ... + 737316.

Almost surely, 2^53821440 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 53821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94565562).

53821440 is an abundant number, since it is smaller than the sum of its proper divisors (135309684).

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

53821440 is an equidigital number, since it uses as much as digits as its factorization.

53821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 53821440 is about 7336.3096990244. The cubic root of 53821440 is about 377.5592410281.

The spelling of 53821440 in words is "fifty-three million, eight hundred twenty-one thousand, four hundred forty".