52933680 has 120 divisors (see below), whose sum is σ = 182665392. Its totient is φ = 13727232.

The previous prime is 52933669. The next prime is 52933681. The reversal of 52933680 is 8633925.

52933680 is a `hidden beast` number, since 5 + 293 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52933681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25647 + ... + 27633.

Almost surely, 2^52933680 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 52933680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91332696).

52933680 is an abundant number, since it is smaller than the sum of its proper divisors (129731712).

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

52933680 is a wasteful number, since it uses less digits than its factorization.

52933680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 52933680 is about 7275.5535871850. The cubic root of 52933680 is about 375.4718327480.

The spelling of 52933680 in words is "fifty-two million, nine hundred thirty-three thousand, six hundred eighty".