5646160 has 80 divisors (see below), whose sum is σ = 14530320. Its totient is φ = 2027520.

The previous prime is 5646131. The next prime is 5646229. The reversal of 5646160 is 616465.

It can be written as a sum of positive squares in 8 ways, for example, as 2534464 + 3111696 = 1592^2 + 1764^2 .

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, 63396 + ... + 63484.

It is an arithmetic number, because the mean of its divisors is an integer number (181629).

Almost surely, 2^5646160 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 5646160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265160).

5646160 is an abundant number, since it is smaller than the sum of its proper divisors (8884160).

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

5646160 is a wasteful number, since it uses less digits than its factorization.

5646160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 5646160 is about 2376.1649774374. The cubic root of 5646160 is about 178.0673902134.

It can be divided in two parts, 564 and 6160, that added together give a square (6724 = 82²).

The spelling of 5646160 in words is "five million, six hundred forty-six thousand, one hundred sixty".