53844768 has 144 divisors (see below), whose sum is σ = 163328256. Its totient is φ = 16796160.

The previous prime is 53844743. The next prime is 53844773. The reversal of 53844768 is 86744835.

53844768 is a `hidden beast` number, since 538 + 44 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330255 + ... + 330417.

It is an arithmetic number, because the mean of its divisors is an integer number (1134224).

Almost surely, 2^53844768 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 53844768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81664128).

53844768 is an abundant number, since it is smaller than the sum of its proper divisors (109483488).

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

53844768 is a wasteful number, since it uses less digits than its factorization.

53844768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 53844768 is about 7337.8994269477. The cubic root of 53844768 is about 377.6137820547.

The spelling of 53844768 in words is "fifty-three million, eight hundred forty-four thousand, seven hundred sixty-eight".