5638120 has 32 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 2206528.

The previous prime is 5638111. The next prime is 5638121. The reversal of 5638120 is 218365.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5638121) 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 7 ways as a sum of consecutive naturals, for example, 381 + ... + 3379.

It is an arithmetic number, because the mean of its divisors is an integer number (405000).

Almost surely, 2^5638120 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 5638120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

5638120 is an abundant number, since it is smaller than the sum of its proper divisors (7321880).

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

5638120 is a wasteful number, since it uses less digits than its factorization.

5638120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 5638120 is about 2374.4725730149. The cubic root of 5638120 is about 177.9828287943.

The spelling of 5638120 in words is "five million, six hundred thirty-eight thousand, one hundred twenty".