27665440 has 72 divisors (see below), whose sum is σ = 71891820. Its totient is φ = 10053120.

The previous prime is 27665413. The next prime is 27665461. The reversal of 27665440 is 4456672.

It can be written as a sum of positive squares in 2 ways, for example, as 24720784 + 2944656 = 4972^2 + 1716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27665396 and 27665405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18646 + ... + 20074.

Almost surely, 2^27665440 is an apocalyptic number.

27665440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35945910).

27665440 is an abundant number, since it is smaller than the sum of its proper divisors (44226380).

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

27665440 is a wasteful number, since it uses less digits than its factorization.

27665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 27665440 is about 5259.7946727985. The cubic root of 27665440 is about 302.4446179604. Note that the first 3 decimals are identical.

It can be divided in two parts, 276654 and 40, that multiplied together give a triangular number (11066160 = T₄₇₀₄).

The spelling of 27665440 in words is "twenty-seven million, six hundred sixty-five thousand, four hundred forty".