52671168 has 224 divisors, whose sum is σ = 179953920. Its totient is φ = 14929920.

The previous prime is 52671167. The next prime is 52671187. The reversal of 52671168 is 86117625.

52671168 is a `hidden beast` number, since 526 + 71 + 1 + 68 = 666.

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 (52671167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 323055 + ... + 323217.

Almost surely, 2^52671168 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 52671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89976960).

52671168 is an abundant number, since it is smaller than the sum of its proper divisors (127282752).

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

52671168 is a wasteful number, since it uses less digits than its factorization.

52671168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 52671168 is about 7257.4904753641. The cubic root of 52671168 is about 374.8501161008.

The spelling of 52671168 in words is "fifty-two million, six hundred seventy-one thousand, one hundred sixty-eight".