54257760 has 144 divisors (see below), whose sum is σ = 189876960. Its totient is φ = 14100480.

The previous prime is 54257729. The next prime is 54257771. The reversal of 54257760 is 6775245.

54257760 is a `hidden beast` number, since 542 + 57 + 7 + 60 = 666.

54257760 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 58581 + ... + 59499.

It is an arithmetic number, because the mean of its divisors is an integer number (1318590).

Almost surely, 2^54257760 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 54257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94938480).

54257760 is an abundant number, since it is smaller than the sum of its proper divisors (135619200).

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

54257760 is a wasteful number, since it uses less digits than its factorization.

54257760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 54257760 is about 7365.9866956165. The cubic root of 54257760 is about 378.5767629145.

The spelling of 54257760 in words is "fifty-four million, two hundred fifty-seven thousand, seven hundred sixty".