5688144 has 240 divisors, whose sum is σ = 21665280. Its totient is φ = 1399680.

The previous prime is 5688143. The next prime is 5688167. The reversal of 5688144 is 4418865.

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

Its product of digits (30720) is a multiple of the sum of its prime factors (60).

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 5688099 and 5688108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5688143) 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, 299367 + ... + 299385.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 2^5688144 is an apocalyptic number.

5688144 is a gapful number since it is divisible by the number (54) 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 5688144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832640).

5688144 is an abundant number, since it is smaller than the sum of its proper divisors (15977136).

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

5688144 is a wasteful number, since it uses less digits than its factorization.

5688144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5688144 is about 2384.9830188075. The cubic root of 5688144 is about 178.5076615594.

It can be divided in two parts, 5688 and 144, that added together give a cube (5832 = 18³).

The spelling of 5688144 in words is "five million, six hundred eighty-eight thousand, one hundred forty-four".