54385760 has 96 divisors (see below), whose sum is σ = 151012512. Its totient is φ = 18247680.

The previous prime is 54385757. The next prime is 54385763. The reversal of 54385760 is 6758345.

It is an interprime number because it is at equal distance from previous prime (54385757) and next prime (54385763).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54385763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21692 + ... + 24068.

It is an arithmetic number, because the mean of its divisors is an integer number (1573047).

Almost surely, 2^54385760 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 54385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75506256).

54385760 is an abundant number, since it is smaller than the sum of its proper divisors (96626752).

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

54385760 is a wasteful number, since it uses less digits than its factorization.

54385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 54385760 is about 7374.6701621157. The cubic root of 54385760 is about 378.8742304703.

The spelling of 54385760 in words is "fifty-four million, three hundred eighty-five thousand, seven hundred sixty".