27744640 has 128 divisors (see below), whose sum is σ = 82840320. Its totient is φ = 8632320.

The previous prime is 27744637. The next prime is 27744641. The reversal of 27744640 is 4644772.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 27744596 and 27744605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27744641) 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 15 ways as a sum of consecutive naturals, for example, 48999 + ... + 49561.

It is an arithmetic number, because the mean of its divisors is an integer number (647190).

Almost surely, 2^27744640 is an apocalyptic number.

27744640 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 27744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41420160).

27744640 is an abundant number, since it is smaller than the sum of its proper divisors (55095680).

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

27744640 is a wasteful number, since it uses less digits than its factorization.

27744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 27744640 is about 5267.3181031717. The cubic root of 27744640 is about 302.7329535405.

The spelling of 27744640 in words is "twenty-seven million, seven hundred forty-four thousand, six hundred forty".