52335680 has 56 divisors (see below), whose sum is σ = 127695960. Its totient is φ = 20418560.

The previous prime is 52335677. The next prime is 52335697. The reversal of 52335680 is 8653325.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 52301824 = 184^2 + 7232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11126 + ... + 15114.

It is an arithmetic number, because the mean of its divisors is an integer number (2280285).

Almost surely, 2^52335680 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 52335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63847980).

52335680 is an abundant number, since it is smaller than the sum of its proper divisors (75360280).

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

52335680 is a wasteful number, since it uses less digits than its factorization.

52335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 52335680 is about 7234.3403292906. The cubic root of 52335680 is about 374.0525534546.

The spelling of 52335680 in words is "fifty-two million, three hundred thirty-five thousand, six hundred eighty".