52535680 has 128 divisors (see below), whose sum is σ = 135717120. Its totient is φ = 19396608.

The previous prime is 52535653. The next prime is 52535687. The reversal of 52535680 is 8653525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52535687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632919 + ... + 633001.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 2^52535680 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 52535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560).

52535680 is an abundant number, since it is smaller than the sum of its proper divisors (83181440).

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

52535680 is a wasteful number, since it uses less digits than its factorization.

52535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 52535680 is about 7248.1501088209. The cubic root of 52535680 is about 374.5284264903.

The spelling of 52535680 in words is "fifty-two million, five hundred thirty-five thousand, six hundred eighty".