54264320 has 160 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 18841600.

The previous prime is 54264313. The next prime is 54264359. The reversal of 54264320 is 2346245.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 54264320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154537 + ... + 1154583.

Almost surely, 2^54264320 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 54264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

54264320 is an abundant number, since it is smaller than the sum of its proper divisors (94226176).

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

54264320 is a wasteful number, since it uses less digits than its factorization.

54264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 54264320 is about 7366.4319721287. The cubic root of 54264320 is about 378.5920194940.

The spelling of 54264320 in words is "fifty-four million, two hundred sixty-four thousand, three hundred twenty".