54319920 has 80 divisors (see below), whose sum is σ = 169274880. Its totient is φ = 14409472.

The previous prime is 54319919. The next prime is 54319933. The reversal of 54319920 is 2991345.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56887 + ... + 57833.

It is an arithmetic number, because the mean of its divisors is an integer number (2115936).

Almost surely, 2^54319920 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 54319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84637440).

54319920 is an abundant number, since it is smaller than the sum of its proper divisors (114954960).

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

54319920 is a wasteful number, since it uses less digits than its factorization.

54319920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 54319920 is about 7370.2048818198. The cubic root of 54319920 is about 378.7212789601.

It can be divided in two parts, 5431 and 9920, that added together give a palindrome (15351).

The spelling of 54319920 in words is "fifty-four million, three hundred nineteen thousand, nine hundred twenty".