27122420 has 48 divisors (see below), whose sum is σ = 62222160. Its totient is φ = 9870336.

The previous prime is 27122419. The next prime is 27122449. The reversal of 27122420 is 2422172.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6091024 + 21031396 = 2468^2 + 4586^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 27122392 and 27122401.

It is a congruent number.

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, 18266 + ... + 19694.

It is an arithmetic number, because the mean of its divisors is an integer number (1296295).

Almost surely, 2^27122420 is an apocalyptic number.

27122420 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 27122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31111080).

27122420 is an abundant number, since it is smaller than the sum of its proper divisors (35099740).

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

27122420 is a wasteful number, since it uses less digits than its factorization.

27122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 27122420 is about 5207.9189701838. The cubic root of 27122420 is about 300.4527238674.

Adding to 27122420 its reverse (2422172), we get a palindrome (29544592).

The spelling of 27122420 in words is "twenty-seven million, one hundred twenty-two thousand, four hundred twenty".