27321120 has 72 divisors (see below), whose sum is σ = 93238236. Its totient is φ = 7285248.

The previous prime is 27321101. The next prime is 27321121. The reversal of 27321120 is 2112372.

It can be written as a sum of positive squares in 2 ways, for example, as 26749584 + 571536 = 5172^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 27321093 and 27321102.

It is not an unprimeable number, because it can be changed into a prime (27321121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8047 + ... + 10926.

Almost surely, 2^27321120 is an apocalyptic number.

27321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27321120 is an abundant number, since it is smaller than the sum of its proper divisors (65917116).

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

27321120 is a wasteful number, since it uses less digits than its factorization.

27321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18994 (or 18983 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 27321120 is about 5226.9608760732. The cubic root of 27321120 is about 301.1846491968.

Adding to 27321120 its reverse (2112372), we get a palindrome (29433492).

The spelling of 27321120 in words is "twenty-seven million, three hundred twenty-one thousand, one hundred twenty".