27314120 has 32 divisors (see below), whose sum is σ = 61672320. Its totient is φ = 10887360.

The previous prime is 27314113. The next prime is 27314123. The reversal of 27314120 is 2141372.

It is a super-2 number, since 2×27314120² = 1492122302748800, which contains 22 as substring.

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 = 27314092 and 27314101.

It is not an unprimeable number, because it can be changed into a prime (27314123) 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 7 ways as a sum of consecutive naturals, for example, 12209 + ... + 14271.

It is an arithmetic number, because the mean of its divisors is an integer number (1927260).

Almost surely, 2^27314120 is an apocalyptic number.

27314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27314120 is an abundant number, since it is smaller than the sum of its proper divisors (34358200).

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

27314120 is a wasteful number, since it uses less digits than its factorization.

27314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 27314120 is about 5226.2912280125. The cubic root of 27314120 is about 301.1589246214.

Adding to 27314120 its reverse (2141372), we get a palindrome (29455492).

The spelling of 27314120 in words is "twenty-seven million, three hundred fourteen thousand, one hundred twenty".