54293120 has 64 divisors (see below), whose sum is σ = 148348800. Its totient is φ = 18613248.

The previous prime is 54293117. The next prime is 54293123. The reversal of 54293120 is 2139245.

It is an interprime number because it is at equal distance from previous prime (54293117) and next prime (54293123).

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

It is a self number, because there is not a number n which added to its sum of digits gives 54293120.

It is not an unprimeable number, because it can be changed into a prime (54293123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1580 + ... + 10539.

It is an arithmetic number, because the mean of its divisors is an integer number (2317950).

Almost surely, 2^54293120 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 54293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74174400).

54293120 is an abundant number, since it is smaller than the sum of its proper divisors (94055680).

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

54293120 is a wasteful number, since it uses less digits than its factorization.

54293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12145 (or 12133 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 54293120 is about 7368.3865262349. The cubic root of 54293120 is about 378.6589850543.

The spelling of 54293120 in words is "fifty-four million, two hundred ninety-three thousand, one hundred twenty".