27649440 has 288 divisors, whose sum is σ = 116678016. Its totient is φ = 5806080.

The previous prime is 27649439. The next prime is 27649451. The reversal of 27649440 is 4494672.

27649440 is a `hidden beast` number, since 2 + 7 + 649 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27649395 and 27649404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130935 + ... + 131145.

It is an arithmetic number, because the mean of its divisors is an integer number (405132).

Almost surely, 2^27649440 is an apocalyptic number.

27649440 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 27649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58339008).

27649440 is an abundant number, since it is smaller than the sum of its proper divisors (89028576).

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

27649440 is a wasteful number, since it uses less digits than its factorization.

27649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 27649440 is about 5258.2734809061. The cubic root of 27649440 is about 302.3863015547.

The spelling of 27649440 in words is "twenty-seven million, six hundred forty-nine thousand, four hundred forty".