54656 has 32 divisors (see below), whose sum is σ = 126480. Its totient is φ = 23040.

The previous prime is 54647. The next prime is 54667. The reversal of 54656 is 65645.

54656 = T₈ + T₉ + ... + T₆₈.

54656 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

54656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 866 + ... + 926.

2⁵⁴⁶⁵⁶ is an apocalyptic number.

54656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63240).

54656 is an abundant number, since it is smaller than the sum of its proper divisors (71824).

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

54656 is an equidigital number, since it uses as much as digits as its factorization.

54656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 54656 is about 233.7862271392. The cubic root of 54656 is about 37.9500729352.

The spelling of 54656 in words is "fifty-four thousand, six hundred fifty-six".