52693920 has 288 divisors, whose sum is σ = 197188992. Its totient is φ = 12773376.

The previous prime is 52693919. The next prime is 52693937. The reversal of 52693920 is 2939625.

52693920 is a `hidden beast` number, since 5 + 269 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1225419 + ... + 1225461.

It is an arithmetic number, because the mean of its divisors is an integer number (684684).

Almost surely, 2^52693920 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 52693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98594496).

52693920 is an abundant number, since it is smaller than the sum of its proper divisors (144495072).

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

52693920 is a wasteful number, since it uses less digits than its factorization.

52693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 52693920 is about 7259.0577900992. The cubic root of 52693920 is about 374.9040821348.

The spelling of 52693920 in words is "fifty-two million, six hundred ninety-three thousand, nine hundred twenty".