5631360 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 1284096.

The previous prime is 5631349. The next prime is 5631361. The reversal of 5631360 is 631365.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5631360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5631361) 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 15 ways as a sum of consecutive naturals, for example, 13231 + ... + 13649.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^5631360 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 5631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

5631360 is an abundant number, since it is smaller than the sum of its proper divisors (14931840).

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

5631360 is a wasteful number, since it uses less digits than its factorization.

5631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 5631360 is about 2373.0486720672. The cubic root of 5631360 is about 177.9116676566.

The spelling of 5631360 in words is "five million, six hundred thirty-one thousand, three hundred sixty".