52627968 has 160 divisors (see below), whose sum is σ = 161061120. Its totient is φ = 17169408.

The previous prime is 52627961. The next prime is 52627997. The reversal of 52627968 is 86972625.

It is not an unprimeable number, because it can be changed into a prime (52627961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119721 + ... + 1119767.

It is an arithmetic number, because the mean of its divisors is an integer number (1006632).

Almost surely, 2^52627968 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 52627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80530560).

52627968 is an abundant number, since it is smaller than the sum of its proper divisors (108433152).

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

52627968 is an frugal number, since it uses more digits than its factorization.

52627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 52627968 is about 7254.5136294586. The cubic root of 52627968 is about 374.7476061644.

The spelling of 52627968 in words is "fifty-two million, six hundred twenty-seven thousand, nine hundred sixty-eight".