54861268 has 48 divisors (see below), whose sum is σ = 121766400. Its totient is φ = 21005280.

The previous prime is 54861259. The next prime is 54861271. The reversal of 54861268 is 86216845.

54861268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54861268.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16663 + ... + 19681.

It is an arithmetic number, because the mean of its divisors is an integer number (2536800).

Almost surely, 2^54861268 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 54861268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60883200).

54861268 is an abundant number, since it is smaller than the sum of its proper divisors (66905132).

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

54861268 is a wasteful number, since it uses less digits than its factorization.

54861268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3098 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 54861268 is about 7406.8392719162. The cubic root of 54861268 is about 379.9752246082.

It can be divided in two parts, 548 and 61268, that added together give a palindrome (61816).

The spelling of 54861268 in words is "fifty-four million, eight hundred sixty-one thousand, two hundred sixty-eight".