53665920 has 384 divisors, whose sum is σ = 232951680. Its totient is φ = 11151360.

The previous prime is 53665901. The next prime is 53665949. The reversal of 53665920 is 2956635.

53665920 is a `hidden beast` number, since 5 + 3 + 66 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4878715 + ... + 4878725.

It is an arithmetic number, because the mean of its divisors is an integer number (606645).

Almost surely, 2^53665920 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 53665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116475840).

53665920 is an abundant number, since it is smaller than the sum of its proper divisors (179285760).

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

53665920 is a wasteful number, since it uses less digits than its factorization.

53665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 53665920 is about 7325.7026966701. The cubic root of 53665920 is about 377.1952308218.

The spelling of 53665920 in words is "fifty-three million, six hundred sixty-five thousand, nine hundred twenty".