5638320 has 120 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 1459200.

The previous prime is 5638313. The next prime is 5638327. The reversal of 5638320 is 238365.

5638320 is a `hidden beast` number, since 5 + 638 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5638313) and next prime (5638327).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (5638327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29425 + ... + 29615.

Almost surely, 2^5638320 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 5638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

5638320 is an abundant number, since it is smaller than the sum of its proper divisors (13860432).

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

5638320 is a wasteful number, since it uses less digits than its factorization.

5638320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5638320 is about 2374.5146872572. The cubic root of 5638320 is about 177.9849332869.

The spelling of 5638320 in words is "five million, six hundred thirty-eight thousand, three hundred twenty".