54668016 has 240 divisors, whose sum is σ = 182800800. Its totient is φ = 15095808.

The previous prime is 54668011. The next prime is 54668027. The reversal of 54668016 is 61086645.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54668011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031446 + ... + 1031498.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^54668016 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 54668016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

54668016 is an abundant number, since it is smaller than the sum of its proper divisors (128132784).

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

54668016 is a wasteful number, since it uses less digits than its factorization.

54668016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54668016 is about 7393.7822526769. The cubic root of 54668016 is about 379.5285381113.

The spelling of 54668016 in words is "fifty-four million, six hundred sixty-eight thousand, sixteen".