54093760 has 224 divisors, whose sum is σ = 163860480. Its totient is φ = 16588800.

The previous prime is 54093751. The next prime is 54093773. The reversal of 54093760 is 6739045.

54093760 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 (224).

It is a super-2 number, since 2×54093760² = 5852269741875200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1319340 + ... + 1319380.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 2^54093760 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 54093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

54093760 is an abundant number, since it is smaller than the sum of its proper divisors (109766720).

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

54093760 is a wasteful number, since it uses less digits than its factorization.

54093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 54093760 is about 7354.8460215017. The cubic root of 54093760 is about 378.1949481052.

The spelling of 54093760 in words is "fifty-four million, ninety-three thousand, seven hundred sixty".