5633160 has 128 divisors (see below), whose sum is σ = 19111680. Its totient is φ = 1317888.

The previous prime is 5633153. The next prime is 5633161. The reversal of 5633160 is 613365.

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 5633160.

It is not an unprimeable number, because it can be changed into a prime (5633161) 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 31 ways as a sum of consecutive naturals, for example, 35802 + ... + 35958.

It is an arithmetic number, because the mean of its divisors is an integer number (149310).

Almost surely, 2^5633160 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 5633160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555840).

5633160 is an abundant number, since it is smaller than the sum of its proper divisors (13478520).

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

5633160 is a wasteful number, since it uses less digits than its factorization.

5633160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

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

The square root of 5633160 is about 2373.4279007377. The cubic root of 5633160 is about 177.9306214492.

The spelling of 5633160 in words is "five million, six hundred thirty-three thousand, one hundred sixty".