54912864 has 48 divisors (see below), whose sum is σ = 145657008. Its totient is φ = 18112512.

The previous prime is 54912859. The next prime is 54912917. The reversal of 54912864 is 46821945.

54912864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 6364 + ... + 12260.

It is an arithmetic number, because the mean of its divisors is an integer number (3034521).

Almost surely, 2^54912864 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 54912864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72828504).

54912864 is an abundant number, since it is smaller than the sum of its proper divisors (90744144).

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

54912864 is a wasteful number, since it uses less digits than its factorization.

54912864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 5999 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 54912864 is about 7410.3214505175. The cubic root of 54912864 is about 380.0943071565.

The spelling of 54912864 in words is "fifty-four million, nine hundred twelve thousand, eight hundred sixty-four".