54177568 has 48 divisors (see below), whose sum is σ = 111888000. Its totient is φ = 25788672.

The previous prime is 54177527. The next prime is 54177587. The reversal of 54177568 is 86577145.

54177568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72943 + ... + 73681.

It is an arithmetic number, because the mean of its divisors is an integer number (2331000).

Almost surely, 2^54177568 is an apocalyptic number.

54177568 is a gapful number since it is divisible by the number (58) 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 54177568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55944000).

54177568 is an abundant number, since it is smaller than the sum of its proper divisors (57710432).

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

54177568 is a wasteful number, since it uses less digits than its factorization.

54177568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its digits is 235200, while the sum is 43.

The square root of 54177568 is about 7360.5412844437. The cubic root of 54177568 is about 378.3901610554.

It can be divided in two parts, 54177 and 568, that added together give a palindrome (54745).

The spelling of 54177568 in words is "fifty-four million, one hundred seventy-seven thousand, five hundred sixty-eight".