54293760 has 144 divisors (see below), whose sum is σ = 192790080. Its totient is φ = 14469120.

The previous prime is 54293753. The next prime is 54293797. The reversal of 54293760 is 6739245.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33775 + ... + 35345.

It is an arithmetic number, because the mean of its divisors is an integer number (1338820).

Almost surely, 2^54293760 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 54293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96395040).

54293760 is an abundant number, since it is smaller than the sum of its proper divisors (138496320).

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

54293760 is a wasteful number, since it uses less digits than its factorization.

54293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 54293760 is about 7368.4299548818. The cubic root of 54293760 is about 378.6604729089.

The spelling of 54293760 in words is "fifty-four million, two hundred ninety-three thousand, seven hundred sixty".