54567760 has 80 divisors (see below), whose sum is σ = 138741120. Its totient is φ = 19837440.

The previous prime is 54567697. The next prime is 54567767. The reversal of 54567760 is 6776545.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54567767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73471 + ... + 74209.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^54567760 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 54567760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69370560).

54567760 is an abundant number, since it is smaller than the sum of its proper divisors (84173360).

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

54567760 is a wasteful number, since it uses less digits than its factorization.

54567760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 54567760 is about 7386.9993908217. Note that the first 3 decimals coincide. The cubic root of 54567760 is about 379.2963895920.

The spelling of 54567760 in words is "fifty-four million, five hundred sixty-seven thousand, seven hundred sixty".