27774112 has 36 divisors (see below), whose sum is σ = 56894670. Its totient is φ = 13330688.

The previous prime is 27774079. The next prime is 27774119. The reversal of 27774112 is 21147772.

It can be written as a sum of positive squares in 3 ways, for example, as 27499536 + 274576 = 5244^2 + 524^2 .

It is not an unprimeable number, because it can be changed into a prime (27774119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160458 + ... + 160630.

Almost surely, 2^27774112 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 27774112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28447335).

27774112 is an abundant number, since it is smaller than the sum of its proper divisors (29120558).

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

27774112 is an equidigital number, since it uses as much as digits as its factorization.

27774112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 204 counting only the distinct ones).

The product of its digits is 5488, while the sum is 31.

The square root of 27774112 is about 5270.1149892578. The cubic root of 27774112 is about 302.8401092320.

It can be divided in two parts, 2777 and 4112, that added together give a square (6889 = 83²).

The spelling of 27774112 in words is "twenty-seven million, seven hundred seventy-four thousand, one hundred twelve".