52004064 has 96 divisors (see below), whose sum is σ = 164263680. Its totient is φ = 14072832.

The previous prime is 52004053. The next prime is 52004089. The reversal of 52004064 is 46040025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 52004064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10732 + ... + 14804.

It is an arithmetic number, because the mean of its divisors is an integer number (1711080).

Almost surely, 2^52004064 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 52004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82131840).

52004064 is an abundant number, since it is smaller than the sum of its proper divisors (112259616).

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

52004064 is a wasteful number, since it uses less digits than its factorization.

52004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 52004064 is about 7211.3843331222. The cubic root of 52004064 is about 373.2608390985.

Adding to 52004064 its reverse (46040025), we get a palindrome (98044089).

The spelling of 52004064 in words is "fifty-two million, four thousand, sixty-four", and thus it is an eban number.