54279760 has 80 divisors (see below), whose sum is σ = 133562880. Its totient is φ = 20482560.

The previous prime is 54279739. The next prime is 54279769. The reversal of 54279760 is 6797245.

54279760 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54279769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106386 + ... + 106894.

It is an arithmetic number, because the mean of its divisors is an integer number (1669536).

Almost surely, 2^54279760 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 54279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781440).

54279760 is an abundant number, since it is smaller than the sum of its proper divisors (79283120).

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

54279760 is a wasteful number, since it uses less digits than its factorization.

54279760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 54279760 is about 7367.4798947808. The cubic root of 54279760 is about 378.6279234205.

The spelling of 54279760 in words is "fifty-four million, two hundred seventy-nine thousand, seven hundred sixty".