54048768 has 96 divisors (see below), whose sum is σ = 152006400. Its totient is φ = 17031168.

The previous prime is 54048767. The next prime is 54048769. The reversal of 54048768 is 86784045.

It is an interprime number because it is at equal distance from previous prime (54048767) and next prime (54048769).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54048767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116505 + ... + 116967.

It is an arithmetic number, because the mean of its divisors is an integer number (1583400).

Almost surely, 2^54048768 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 54048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76003200).

54048768 is an abundant number, since it is smaller than the sum of its proper divisors (97957632).

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

54048768 is a wasteful number, since it uses less digits than its factorization.

54048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 54048768 is about 7351.7867216072. The cubic root of 54048768 is about 378.0900656021.

The spelling of 54048768 in words is "fifty-four million, forty-eight thousand, seven hundred sixty-eight".