52616064 has 64 divisors (see below), whose sum is σ = 141751440. Its totient is φ = 17289216.

The previous prime is 52616033. The next prime is 52616093. The reversal of 52616064 is 46061625.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27094 + ... + 28970.

Almost surely, 2^52616064 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 52616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70875720).

52616064 is an abundant number, since it is smaller than the sum of its proper divisors (89135376).

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

52616064 is a wasteful number, since it uses less digits than its factorization.

52616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 52616064 is about 7253.6931283313. The cubic root of 52616064 is about 374.7193491237.

Adding to 52616064 its reverse (46061625), we get a palindrome (98677689).

It can be divided in two parts, 5261 and 6064, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 52616064 in words is "fifty-two million, six hundred sixteen thousand, sixty-four".