52735680 has 84 divisors (see below), whose sum is σ = 181398672. Its totient is φ = 14062080.

The previous prime is 52735679. The next prime is 52735703. The reversal of 52735680 is 8653725.

52735680 is a `hidden beast` number, since 527 + 3 + 56 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6276 + ... + 12035.

It is an arithmetic number, because the mean of its divisors is an integer number (2159508).

Almost surely, 2^52735680 is an apocalyptic number.

It is an amenable number.

52735680 is an abundant number, since it is smaller than the sum of its proper divisors (128662992).

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

52735680 is a wasteful number, since it uses less digits than its factorization.

52735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18334 (or 18321 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 52735680 is about 7261.9336267967. The cubic root of 52735680 is about 375.0030933078.

The spelling of 52735680 in words is "fifty-two million, seven hundred thirty-five thousand, six hundred eighty".