27120312 has 128 divisors (see below), whose sum is σ = 80870400. Its totient is φ = 8401536.

The previous prime is 27120293. The next prime is 27120329. The reversal of 27120312 is 21302172.

It is a super-2 number, since 2×27120312² = 1471022645954688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263253 + ... + 263355.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 2^27120312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40435200).

27120312 is an abundant number, since it is smaller than the sum of its proper divisors (53750088).

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

27120312 is a wasteful number, since it uses less digits than its factorization.

27120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

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

The square root of 27120312 is about 5207.7165821500. The cubic root of 27120312 is about 300.4449397691. Note that the first 3 decimals are identical.

Adding to 27120312 its reverse (21302172), we get a palindrome (48422484).

The spelling of 27120312 in words is "twenty-seven million, one hundred twenty thousand, three hundred twelve".