52648064 has 64 divisors (see below), whose sum is σ = 121796160. Its totient is φ = 22201344.

The previous prime is 52648061. The next prime is 52648073. The reversal of 52648064 is 46084625.

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

It is not an unprimeable number, because it can be changed into a prime (52648061) 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, 59594 + ... + 60470.

It is an arithmetic number, because the mean of its divisors is an integer number (1903065).

Almost surely, 2^52648064 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 52648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60898080).

52648064 is an abundant number, since it is smaller than the sum of its proper divisors (69148096).

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

52648064 is an equidigital number, since it uses as much as digits as its factorization.

52648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 52648064 is about 7255.8985659944. The cubic root of 52648064 is about 374.7952992436.

The spelling of 52648064 in words is "fifty-two million, six hundred forty-eight thousand, sixty-four".