27220480 has 160 divisors (see below), whose sum is σ = 78566400. Its totient is φ = 9031680.

The previous prime is 27220469. The next prime is 27220481. The reversal of 27220480 is 8402272.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27220481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878065 + ... + 878095.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 2^27220480 is an apocalyptic number.

27220480 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 27220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

27220480 is an abundant number, since it is smaller than the sum of its proper divisors (51345920).

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

27220480 is an frugal number, since it uses more digits than its factorization.

27220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 27220480 is about 5217.3249850857. The cubic root of 27220480 is about 300.8143798769.

Adding to 27220480 its product of nonzero digits (1792), we get a palindrome (27222272).

The spelling of 27220480 in words is "twenty-seven million, two hundred twenty thousand, four hundred eighty".