27261312 has 128 divisors (see below), whose sum is σ = 80424960. Its totient is φ = 8128512.

The previous prime is 27261301. The next prime is 27261317. The reversal of 27261312 is 21316272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×27261312² = 1486358263922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27261317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214593 + ... + 214719.

It is an arithmetic number, because the mean of its divisors is an integer number (628320).

Almost surely, 2^27261312 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 27261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40212480).

27261312 is an abundant number, since it is smaller than the sum of its proper divisors (53163648).

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

27261312 is a wasteful number, since it uses less digits than its factorization.

27261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 27261312 is about 5221.2366351277. The cubic root of 27261312 is about 300.9647166363.

Adding to 27261312 its reverse (21316272), we get a palindrome (48577584).

The spelling of 27261312 in words is "twenty-seven million, two hundred sixty-one thousand, three hundred twelve".