52168064 has 64 divisors (see below), whose sum is σ = 113354640. Its totient is φ = 23771136.

The previous prime is 52168057. The next prime is 52168069. The reversal of 52168064 is 46086125.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 52168064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52168069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177902 + ... + 178194.

Almost surely, 2^52168064 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 52168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56677320).

52168064 is an abundant number, since it is smaller than the sum of its proper divisors (61186576).

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

52168064 is a wasteful number, since it uses less digits than its factorization.

52168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 52168064 is about 7222.7462920969. The cubic root of 52168064 is about 373.6527991137.

The spelling of 52168064 in words is "fifty-two million, one hundred sixty-eight thousand, sixty-four".