27408420 has 216 divisors, whose sum is σ = 97120296. Its totient is φ = 6230016.

The previous prime is 27408383. The next prime is 27408439. The reversal of 27408420 is 2480472.

It can be written as a sum of positive squares in 12 ways, for example, as 8538084 + 18870336 = 2922^2 + 4344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 517114 + ... + 517166.

It is an arithmetic number, because the mean of its divisors is an integer number (449631).

Almost surely, 2^27408420 is an apocalyptic number.

27408420 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 27408420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48560148).

27408420 is an abundant number, since it is smaller than the sum of its proper divisors (69711876).

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

27408420 is a wasteful number, since it uses less digits than its factorization.

27408420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 27408420 is about 5235.3051486995. The cubic root of 27408420 is about 301.5051029226.

Adding to 27408420 its reverse (2480472), we get a palindrome (29888892).

The spelling of 27408420 in words is "twenty-seven million, four hundred eight thousand, four hundred twenty".