54567680 has 72 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 21536768.

The previous prime is 54567659. The next prime is 54567683. The reversal of 54567680 is 8676545.

It is not an unprimeable number, because it can be changed into a prime (54567683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 113681 + ... + 114159.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2^54567680 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 54567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

54567680 is an abundant number, since it is smaller than the sum of its proper divisors (77883520).

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

54567680 is an equidigital number, since it uses as much as digits as its factorization.

54567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 54567680 is about 7386.9939759012. The cubic root of 54567680 is about 379.2962042339.

The spelling of 54567680 in words is "fifty-four million, five hundred sixty-seven thousand, six hundred eighty".