52508640 has 96 divisors (see below), whose sum is σ = 166803840. Its totient is φ = 13883904.

The previous prime is 52508639. The next prime is 52508653. The reversal of 52508640 is 4680525.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52508598 and 52508607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66327 + ... + 67113.

It is an arithmetic number, because the mean of its divisors is an integer number (1737540).

Almost surely, 2^52508640 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 52508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83401920).

52508640 is an abundant number, since it is smaller than the sum of its proper divisors (114295200).

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

52508640 is a wasteful number, since it uses less digits than its factorization.

52508640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 52508640 is about 7246.2845652100. The cubic root of 52508640 is about 374.4641591413.

The spelling of 52508640 in words is "fifty-two million, five hundred eight thousand, six hundred forty".