27665640 has 192 divisors, whose sum is σ = 96744960. Its totient is φ = 6842880.

The previous prime is 27665597. The next prime is 27665683. The reversal of 27665640 is 4656672.

27665640 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (27665597) and next prime (27665683).

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 = 27665595 and 27665604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 412887 + ... + 412953.

It is an arithmetic number, because the mean of its divisors is an integer number (503880).

Almost surely, 2^27665640 is an apocalyptic number.

27665640 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 27665640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48372480).

27665640 is an abundant number, since it is smaller than the sum of its proper divisors (69079320).

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

27665640 is a wasteful number, since it uses less digits than its factorization.

27665640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 27665640 is about 5259.8136849132. The cubic root of 27665640 is about 302.4453467732.

The spelling of 27665640 in words is "twenty-seven million, six hundred sixty-five thousand, six hundred forty".