27450000 has 180 divisors, whose sum is σ = 97595316. Its totient is φ = 7200000.

The previous prime is 27449999. The next prime is 27450013. The reversal of 27450000 is 5472.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26998416 + 451584 = 5196^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 449970 + ... + 450030.

Almost surely, 2^27450000 is an apocalyptic number.

27450000 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 27450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48797658).

27450000 is an abundant number, since it is smaller than the sum of its proper divisors (70145316).

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

27450000 is an equidigital number, since it uses as much as digits as its factorization.

27450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 27450000 is about 5239.2747589719. The cubic root of 27450000 is about 301.6574922002.

Adding to 27450000 its reverse (5472), we get a palindrome (27455472).

The spelling of 27450000 in words is "twenty-seven million, four hundred fifty thousand".