54005688 has 72 divisors (see below), whose sum is σ = 160797000. Its totient is φ = 16362720.

The previous prime is 54005669. The next prime is 54005711. The reversal of 54005688 is 88650045.

It is a happy number.

54005688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×54005688² = 5833228672706688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5613 + ... + 11811.

Almost surely, 2^54005688 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 54005688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80398500).

54005688 is an abundant number, since it is smaller than the sum of its proper divisors (106791312).

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

54005688 is a wasteful number, since it uses less digits than its factorization.

54005688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 54005688 is about 7348.8562375379. The cubic root of 54005688 is about 377.9895856709.

The spelling of 54005688 in words is "fifty-four million, five thousand, six hundred eighty-eight".