52085760 has 88 divisors (see below), whose sum is σ = 166642176. Its totient is φ = 13885440.

The previous prime is 52085743. The next prime is 52085767. The reversal of 52085760 is 6758025.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (52085767) 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, 13665 + ... + 17055.

Almost surely, 2^52085760 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 52085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83321088).

52085760 is an abundant number, since it is smaller than the sum of its proper divisors (114556416).

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

52085760 is a wasteful number, since it uses less digits than its factorization.

52085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 52085760 is about 7217.0464873104. The cubic root of 52085760 is about 373.4561953900.

The spelling of 52085760 in words is "fifty-two million, eighty-five thousand, seven hundred sixty".