27340420 has 48 divisors (see below), whose sum is σ = 61493040. Its totient is φ = 10174464.

The previous prime is 27340409. The next prime is 27340441. The reversal of 27340420 is 2404372.

It can be written as a sum of positive squares in 8 ways, for example, as 217156 + 27123264 = 466^2 + 5208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27340391 and 27340400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32566 + ... + 33394.

It is an arithmetic number, because the mean of its divisors is an integer number (1281105).

Almost surely, 2^27340420 is an apocalyptic number.

27340420 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 27340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30746520).

27340420 is an abundant number, since it is smaller than the sum of its proper divisors (34152620).

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

27340420 is a wasteful number, since it uses less digits than its factorization.

27340420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 27340420 is about 5228.8067472417. The cubic root of 27340420 is about 301.2555527750.

Adding to 27340420 its reverse (2404372), we get a palindrome (29744792).

The spelling of 27340420 in words is "twenty-seven million, three hundred forty thousand, four hundred twenty".