5633880 has 128 divisors (see below), whose sum is σ = 20390400. Its totient is φ = 1216512.

The previous prime is 5633869. The next prime is 5633893. The reversal of 5633880 is 883365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15784 + ... + 16136.

It is an arithmetic number, because the mean of its divisors is an integer number (159300).

Almost surely, 2^5633880 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 5633880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195200).

5633880 is an abundant number, since it is smaller than the sum of its proper divisors (14756520).

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

5633880 is a wasteful number, since it uses less digits than its factorization.

5633880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5633880 is about 2373.5795752407. The cubic root of 5633880 is about 177.9382018357.

The spelling of 5633880 in words is "five million, six hundred thirty-three thousand, eight hundred eighty".