54680 has 16 divisors (see below), whose sum is σ = 123120. Its totient is φ = 21856.

The previous prime is 54679. The next prime is 54709. The reversal of 54680 is 8645.

54680 = T₃₁ + T₃₂ + ... + T₇₀.

54680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 12.

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 644 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2⁵⁴⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

54680 is an abundant number, since it is smaller than the sum of its proper divisors (68440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61560).

54680 is a wasteful number, since it uses less digits than its factorization.

54680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 54680 is about 233.8375504490. The cubic root of 54680 is about 37.9556268754.

It can be divided in two parts, 546 and 80, that added together give a palindrome (626).

The spelling of 54680 in words is "fifty-four thousand, six hundred eighty".