54289564 has 48 divisors (see below), whose sum is σ = 112930048. Its totient is φ = 22353408.

The previous prime is 54289561. The next prime is 54289577. The reversal of 54289564 is 46598245.

54289564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 54289564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54289561) 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, 80332 + ... + 81004.

Almost surely, 2^54289564 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 54289564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56465024).

54289564 is an abundant number, since it is smaller than the sum of its proper divisors (58640484).

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

54289564 is a wasteful number, since it uses less digits than its factorization.

54289564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 792 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The square root of 54289564 is about 7368.1452211530. The cubic root of 54289564 is about 378.6507179495.

The spelling of 54289564 in words is "fifty-four million, two hundred eighty-nine thousand, five hundred sixty-four".