53564280 has 384 divisors, whose sum is σ = 220631040. Its totient is φ = 10137600.

The previous prime is 53564243. The next prime is 53564281. The reversal of 53564280 is 8246535.

53564280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53564281) 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 95 ways as a sum of consecutive naturals, for example, 1727865 + ... + 1727895.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^53564280 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 53564280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

53564280 is an abundant number, since it is smaller than the sum of its proper divisors (167066760).

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

53564280 is a wasteful number, since it uses less digits than its factorization.

53564280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 53564280 is about 7318.7621904254. The cubic root of 53564280 is about 376.9569520276.

The spelling of 53564280 in words is "fifty-three million, five hundred sixty-four thousand, two hundred eighty".