5678160 has 80 divisors (see below), whose sum is σ = 17945280. Its totient is φ = 1484800.

The previous prime is 5678149. The next prime is 5678173. The reversal of 5678160 is 618765.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13960 + ... + 14360.

It is an arithmetic number, because the mean of its divisors is an integer number (224316).

Almost surely, 2^5678160 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 5678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972640).

5678160 is an abundant number, since it is smaller than the sum of its proper divisors (12267120).

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

5678160 is a wasteful number, since it uses less digits than its factorization.

5678160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5678160 is about 2382.8890028703. The cubic root of 5678160 is about 178.4031597368.

The spelling of 5678160 in words is "five million, six hundred seventy-eight thousand, one hundred sixty".