52618960 has 40 divisors (see below), whose sum is σ = 123257736. Its totient is φ = 20889600.

The previous prime is 52618913. The next prime is 52618967. The reversal of 52618960 is 6981625.

It can be written as a sum of positive squares in 4 ways, for example, as 8156736 + 44462224 = 2856^2 + 6668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52618967) 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, 8560 + ... + 13360.

Almost surely, 2^52618960 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 52618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61628868).

52618960 is an abundant number, since it is smaller than the sum of its proper divisors (70638776).

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

52618960 is a wasteful number, since it uses less digits than its factorization.

52618960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 52618960 is about 7253.8927480354. The cubic root of 52618960 is about 374.7262238767.

The spelling of 52618960 in words is "fifty-two million, six hundred eighteen thousand, nine hundred sixty".