27112320 has 160 divisors (see below), whose sum is σ = 97008120. Its totient is φ = 7216128.

The previous prime is 27112313. The next prime is 27112343. The reversal of 27112320 is 2321172.

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

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 = 27112293 and 27112302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51579 + ... + 52101.

Almost surely, 2^27112320 is an apocalyptic number.

27112320 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 27112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48504060).

27112320 is an abundant number, since it is smaller than the sum of its proper divisors (69895800).

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

27112320 is an equidigital number, since it uses as much as digits as its factorization.

27112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 533 counting only the distinct ones).

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

The square root of 27112320 is about 5206.9492027482. The cubic root of 27112320 is about 300.4154244762.

Adding to 27112320 its reverse (2321172), we get a palindrome (29433492).

The spelling of 27112320 in words is "twenty-seven million, one hundred twelve thousand, three hundred twenty".