5564160 has 288 divisors, whose sum is σ = 23546880. Its totient is φ = 1216512.

The previous prime is 5564147. The next prime is 5564161. The reversal of 5564160 is 614655.

5564160 = 100² + 101² + ... + 260².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5564161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241909 + ... + 241931.

It is an arithmetic number, because the mean of its divisors is an integer number (81760).

Almost surely, 2^5564160 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 5564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773440).

5564160 is an abundant number, since it is smaller than the sum of its proper divisors (17982720).

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

5564160 is a wasteful number, since it uses less digits than its factorization.

5564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5564160 is about 2358.8471760587. The cubic root of 5564160 is about 177.2011502319.

The spelling of 5564160 in words is "five million, five hundred sixty-four thousand, one hundred sixty".