54930768 has 40 divisors (see below), whose sum is σ = 143220000. Its totient is φ = 18140544.

The previous prime is 54930763. The next prime is 54930773. The reversal of 54930768 is 86703945.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54930763) and next prime (54930773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54930763) 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 7 ways as a sum of consecutive naturals, for example, 18 + ... + 10481.

It is an arithmetic number, because the mean of its divisors is an integer number (3580500).

Almost surely, 2^54930768 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 54930768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71610000).

54930768 is an abundant number, since it is smaller than the sum of its proper divisors (88289232).

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

54930768 is a wasteful number, since it uses less digits than its factorization.

54930768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 54930768 is about 7411.5293968249. The cubic root of 54930768 is about 380.1356118012.

The spelling of 54930768 in words is "fifty-four million, nine hundred thirty thousand, seven hundred sixty-eight".