54820864 has 64 divisors (see below), whose sum is σ = 125827200. Its totient is φ = 23396352.

The previous prime is 54820849. The next prime is 54820867. The reversal of 54820864 is 46802845.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (54820867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229257 + ... + 229495.

It is an arithmetic number, because the mean of its divisors is an integer number (1966050).

Almost surely, 2^54820864 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 54820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62913600).

54820864 is an abundant number, since it is smaller than the sum of its proper divisors (71006336).

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

54820864 is an frugal number, since it uses more digits than its factorization.

54820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 54820864 is about 7404.1112903575. Note that the first 3 decimals coincide. The cubic root of 54820864 is about 379.8819208379.

It can be divided in two parts, 548 and 20864, that added together give a palindrome (21412).

The spelling of 54820864 in words is "fifty-four million, eight hundred twenty thousand, eight hundred sixty-four".