54634320 has 180 divisors, whose sum is σ = 199122300. Its totient is φ = 13418496.

The previous prime is 54634319. The next prime is 54634339. The reversal of 54634320 is 2343645.

54634320 is a `hidden beast` number, since 5 + 4 + 634 + 3 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8503056 + 46131264 = 2916^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 121456 + ... + 121904.

It is an arithmetic number, because the mean of its divisors is an integer number (1106235).

Almost surely, 2^54634320 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 54634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99561150).

54634320 is an abundant number, since it is smaller than the sum of its proper divisors (144487980).

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

54634320 is a wasteful number, since it uses less digits than its factorization.

54634320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 54634320 is about 7391.5032300609. The cubic root of 54634320 is about 379.4505447800.

Adding to 54634320 its reverse (2343645), we get a palindrome (56977965).

The spelling of 54634320 in words is "fifty-four million, six hundred thirty-four thousand, three hundred twenty".