54467968 has 32 divisors (see below), whose sum is σ = 109156320. Its totient is φ = 27072000.

The previous prime is 54467953. The next prime is 54467977. The reversal of 54467968 is 86976445.

54467968 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 (32).

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 3 ways as a sum of consecutive naturals, for example, 21993 + ... + 24343.

It is an arithmetic number, because the mean of its divisors is an integer number (3411135).

Almost surely, 2^54467968 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 54467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54578160).

54467968 is an abundant number, since it is smaller than the sum of its proper divisors (54688352).

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

54467968 is a wasteful number, since it uses less digits than its factorization.

54467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2534 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 54467968 is about 7380.2417304584. The cubic root of 54467968 is about 379.0650329433.

The spelling of 54467968 in words is "fifty-four million, four hundred sixty-seven thousand, nine hundred sixty-eight".