53838880 has 48 divisors (see below), whose sum is σ = 128542680. Its totient is φ = 21307392.

The previous prime is 53838839. The next prime is 53838893. The reversal of 53838880 is 8883835.

It can be written as a sum of positive squares in 4 ways, for example, as 26255376 + 27583504 = 5124^2 + 5252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13786 + ... + 17254.

Almost surely, 2^53838880 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 53838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64271340).

53838880 is an abundant number, since it is smaller than the sum of its proper divisors (74703800).

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

53838880 is a wasteful number, since it uses less digits than its factorization.

53838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 53838880 is about 7337.4982112434. The cubic root of 53838880 is about 377.6000173561.

The spelling of 53838880 in words is "fifty-three million, eight hundred thirty-eight thousand, eight hundred eighty".