27665680 has 80 divisors (see below), whose sum is σ = 74280960. Its totient is φ = 9386496.

The previous prime is 27665597. The next prime is 27665683. The reversal of 27665680 is 8656672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27665683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70926 + ... + 71314.

It is an arithmetic number, because the mean of its divisors is an integer number (928512).

Almost surely, 2^27665680 is an apocalyptic number.

27665680 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 27665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140480).

27665680 is an abundant number, since it is smaller than the sum of its proper divisors (46615280).

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

27665680 is a wasteful number, since it uses less digits than its factorization.

27665680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 27665680 is about 5259.8174873279. The cubic root of 27665680 is about 302.4454925353.

It can be divided in two parts, 276 and 65680, that added together give a palindrome (65956).

The spelling of 27665680 in words is "twenty-seven million, six hundred sixty-five thousand, six hundred eighty".