54517680 has 240 divisors, whose sum is σ = 217039680. Its totient is φ = 11999232.

The previous prime is 54517649. The next prime is 54517693. The reversal of 54517680 is 8671545.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145974 + ... + 146346.

It is an arithmetic number, because the mean of its divisors is an integer number (904332).

Almost surely, 2^54517680 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 54517680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108519840).

54517680 is an abundant number, since it is smaller than the sum of its proper divisors (162522000).

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

54517680 is a wasteful number, since it uses less digits than its factorization.

54517680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 54517680 is about 7383.6088737148. The cubic root of 54517680 is about 379.1803199742.

It can be divided in two parts, 5451 and 7680, that added together give a palindrome (13131).

The spelling of 54517680 in words is "fifty-four million, five hundred seventeen thousand, six hundred eighty".