54867168 has 72 divisors (see below), whose sum is σ = 158722200. Its totient is φ = 17973504.

The previous prime is 54867161. The next prime is 54867199. The reversal of 54867168 is 86176845.

It is a happy number.

54867168 is a `hidden beast` number, since 5 + 486 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×54867168² = 6020812248680448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54867161) 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 11 ways as a sum of consecutive naturals, for example, 15378 + ... + 18606.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475).

Almost surely, 2^54867168 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 54867168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79361100).

54867168 is an abundant number, since it is smaller than the sum of its proper divisors (103855032).

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

54867168 is a wasteful number, since it uses less digits than its factorization.

54867168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3293 counting only the distinct ones).

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

The square root of 54867168 is about 7407.2375417560. The cubic root of 54867168 is about 379.9888454713.

The spelling of 54867168 in words is "fifty-four million, eight hundred sixty-seven thousand, one hundred sixty-eight".