27052900 has 54 divisors (see below), whose sum is σ = 68301618. Its totient is φ = 9273600.

The previous prime is 27052897. The next prime is 27052901. The reversal of 27052900 is 925072.

It can be written as a sum of positive squares in 3 ways, for example, as 509796 + 26543104 = 714^2 + 5152^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (27052901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2140 + ... + 7660.

Almost surely, 2^27052900 is an apocalyptic number.

27052900 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 27052900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34150809).

27052900 is an abundant number, since it is smaller than the sum of its proper divisors (41248718).

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

27052900 is a wasteful number, since it uses less digits than its factorization.

27052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 27052900 is about 5201.2402367128. The cubic root of 27052900 is about 300.1957981085.

Adding to 27052900 its reverse (925072), we get a palindrome (27977972).

The spelling of 27052900 in words is "twenty-seven million, fifty-two thousand, nine hundred".