53079168 has 128 divisors (see below), whose sum is σ = 153342720. Its totient is φ = 16203776.

The previous prime is 53079163. The next prime is 53079181. The reversal of 53079168 is 86197035.

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

It is not an unprimeable number, because it can be changed into a prime (53079163) 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 15 ways as a sum of consecutive naturals, for example, 306730 + ... + 306902.

It is an arithmetic number, because the mean of its divisors is an integer number (1197990).

Almost surely, 2^53079168 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 53079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76671360).

53079168 is an abundant number, since it is smaller than the sum of its proper divisors (100263552).

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

53079168 is a wasteful number, since it uses less digits than its factorization.

53079168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 53079168 is about 7285.5451408937. The cubic root of 53079168 is about 375.8155123312.

The spelling of 53079168 in words is "fifty-three million, seventy-nine thousand, one hundred sixty-eight".