52711920 has 120 divisors (see below), whose sum is σ = 178448400. Its totient is φ = 13943808.

The previous prime is 52711877. The next prime is 52711927. The reversal of 52711920 is 2911725.

52711920 is a `hidden beast` number, since 527 + 119 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52711927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128676 + ... + 129084.

It is an arithmetic number, because the mean of its divisors is an integer number (1487070).

Almost surely, 2^52711920 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 52711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89224200).

52711920 is an abundant number, since it is smaller than the sum of its proper divisors (125736480).

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

52711920 is a wasteful number, since it uses less digits than its factorization.

52711920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 52711920 is about 7260.2975145651. The cubic root of 52711920 is about 374.9467657767.

The spelling of 52711920 in words is "fifty-two million, seven hundred eleven thousand, nine hundred twenty".