245127168 has 384 divisors, whose sum is σ = 880588800. Its totient is φ = 66355200.

The previous prime is 245127167. The next prime is 245127187. The reversal of 245127168 is 861721542.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (26880) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245127161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7907313 + ... + 7907343.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^245127168 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 245127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

245127168 is an abundant number, since it is smaller than the sum of its proper divisors (635461632).

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

245127168 is a wasteful number, since it uses less digits than its factorization.

245127168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 245127168 is about 15656.5375482576. The cubic root of 245127168 is about 625.8407186271.

The spelling of 245127168 in words is "two hundred forty-five million, one hundred twenty-seven thousand, one hundred sixty-eight".