5638672 has 20 divisors (see below), whose sum is σ = 11765740. Its totient is φ = 2602368.

The previous prime is 5638663. The next prime is 5638691. The reversal of 5638672 is 2768365.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 4393216 = 1116^2 + 2096^2 .

It is a super-3 number, since 3×5638672³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13347 + ... + 13762.

It is an arithmetic number, because the mean of its divisors is an integer number (588287).

Almost surely, 2^5638672 is an apocalyptic number.

5638672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5638672 is an abundant number, since it is smaller than the sum of its proper divisors (6127068).

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

5638672 is a wasteful number, since it uses less digits than its factorization.

5638672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27130 (or 27124 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 5638672 is about 2374.5888065095. The cubic root of 5638672 is about 177.9886370729.

The spelling of 5638672 in words is "five million, six hundred thirty-eight thousand, six hundred seventy-two".