27275040 has 288 divisors, whose sum is σ = 105670656. Its totient is φ = 6359040.

The previous prime is 27275023. The next prime is 27275041. The reversal of 27275040 is 4057272.

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

It is a junction number, because it is equal to n+sod(n) for n = 27274995 and 27275013.

It is not an unprimeable number, because it can be changed into a prime (27275041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580297 + ... + 580343.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^27275040 is an apocalyptic number.

27275040 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 27275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

27275040 is an abundant number, since it is smaller than the sum of its proper divisors (78395616).

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

27275040 is a wasteful number, since it uses less digits than its factorization.

27275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 27275040 is about 5222.5511007553. The cubic root of 27275040 is about 301.0152271705.

The spelling of 27275040 in words is "twenty-seven million, two hundred seventy-five thousand, forty".