52947360 has 144 divisors (see below), whose sum is σ = 183272544. Its totient is φ = 13917696.

The previous prime is 52947341. The next prime is 52947361. The reversal of 52947360 is 6374925.

52947360 is a `hidden beast` number, since 5 + 294 + 7 + 360 = 666.

52947360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (52947361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119299 + ... + 119741.

It is an arithmetic number, because the mean of its divisors is an integer number (1272726).

Almost surely, 2^52947360 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 52947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91636272).

52947360 is an abundant number, since it is smaller than the sum of its proper divisors (130325184).

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

52947360 is a wasteful number, since it uses less digits than its factorization.

52947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 52947360 is about 7276.4936610980. The cubic root of 52947360 is about 375.5041751826.

The spelling of 52947360 in words is "fifty-two million, nine hundred forty-seven thousand, three hundred sixty".