27300020 has 72 divisors (see below), whose sum is σ = 65356200. Its totient is φ = 9560320.

The previous prime is 27300019. The next prime is 27300023. The reversal of 27300020 is 2000372.

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 26275876 = 1012^2 + 5126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27299968 and 27300004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27300023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69986 + ... + 70374.

It is an arithmetic number, because the mean of its divisors is an integer number (907725).

Almost surely, 2^27300020 is an apocalyptic number.

27300020 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 27300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678100).

27300020 is an abundant number, since it is smaller than the sum of its proper divisors (38056180).

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

27300020 is a wasteful number, since it uses less digits than its factorization.

27300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 27300020 is about 5224.9421049424. The cubic root of 27300020 is about 301.1070946311.

Adding to 27300020 its reverse (2000372), we get a palindrome (29300392).

The spelling of 27300020 in words is "twenty-seven million, three hundred thousand, twenty".