54001680 has 80 divisors (see below), whose sum is σ = 168322560. Its totient is φ = 14321664.

The previous prime is 54001669. The next prime is 54001687. The reversal of 54001680 is 8610045.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54001680.

It is not an unprimeable number, because it can be changed into a prime (54001687) 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, 53016 + ... + 54024.

It is an arithmetic number, because the mean of its divisors is an integer number (2104032).

Almost surely, 2^54001680 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 54001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84161280).

54001680 is an abundant number, since it is smaller than the sum of its proper divisors (114320880).

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

54001680 is a wasteful number, since it uses less digits than its factorization.

54001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 54001680 is about 7348.5835369818. The cubic root of 54001680 is about 377.9802346822.

The spelling of 54001680 in words is "fifty-four million, one thousand, six hundred eighty".