48567168 has 256 divisors, whose sum is σ = 164505600. Its totient is φ = 13989888.

The previous prime is 48567157. The next prime is 48567203. The reversal of 48567168 is 86176584.

It is a happy number.

48567168 is a `hidden beast` number, since 485 + 6 + 7 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033321 + ... + 1033367.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^48567168 is an apocalyptic number.

48567168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

48567168 is an abundant number, since it is smaller than the sum of its proper divisors (115938432).

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

48567168 is a wasteful number, since it uses less digits than its factorization.

48567168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 48567168 is about 6969.0148514693. The cubic root of 48567168 is about 364.8499239154.

The spelling of 48567168 in words is "forty-eight million, five hundred sixty-seven thousand, one hundred sixty-eight".