276105312 has 144 divisors (see below), whose sum is σ = 904280832. Its totient is φ = 78278400.

The previous prime is 276105311. The next prime is 276105329. The reversal of 276105312 is 213501672.

It is a happy number.

276105312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276105311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303963 + ... + 304869.

It is an arithmetic number, because the mean of its divisors is an integer number (6279728).

Almost surely, 2^276105312 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 276105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452140416).

276105312 is an abundant number, since it is smaller than the sum of its proper divisors (628175520).

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

276105312 is a wasteful number, since it uses less digits than its factorization.

276105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 276105312 is about 16616.4169422893. The cubic root of 276105312 is about 651.1658068321.

Adding to 276105312 its reverse (213501672), we get a palindrome (489606984).

The spelling of 276105312 in words is "two hundred seventy-six million, one hundred five thousand, three hundred twelve".