53064 has 48 divisors (see below), whose sum is σ = 159120. Its totient is φ = 15840.

The previous prime is 53051. The next prime is 53069. The reversal of 53064 is 46035.

It is a happy number.

53064 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 (18).

It is a d-powerful number, because it can be written as 5³ + 3⁷ + 0 + 6⁶ + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (53069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (3315).

2⁵³⁰⁶⁴ 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 53064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560).

53064 is an abundant number, since it is smaller than the sum of its proper divisors (106056).

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

53064 is a wasteful number, since it uses less digits than its factorization.

53064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53064 is about 230.3562458454. The cubic root of 53064 is about 37.5779711012.

Adding to 53064 its reverse (46035), we get a palindrome (99099).

The spelling of 53064 in words is "fifty-three thousand, sixty-four".