27945000 has 240 divisors, whose sum is σ = 102342240. Its totient is φ = 7128000.

The previous prime is 27944993. The next prime is 27945007. The reversal of 27945000 is 54972.

It is an interprime number because it is at equal distance from previous prime (27944993) and next prime (27945007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27945007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1214989 + ... + 1215011.

It is an arithmetic number, because the mean of its divisors is an integer number (426426).

Almost surely, 2^27945000 is an apocalyptic number.

27945000 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 27945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171120).

27945000 is an abundant number, since it is smaller than the sum of its proper divisors (74397240).

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

27945000 is an equidigital number, since it uses as much as digits as its factorization.

27945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 27945000 is about 5286.3030560118. The cubic root of 27945000 is about 303.4599425848.

Adding to 27945000 its reverse (54972), we get a palindrome (27999972).

The spelling of 27945000 in words is "twenty-seven million, nine hundred forty-five thousand".