276968 has 16 divisors (see below), whose sum is σ = 526500. Its totient is φ = 136576.

The previous prime is 276961. The next prime is 276977. The reversal of 276968 is 869672.

276968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 252004 + 24964 = 502^2 + 158^2 .

It is a super-2 number, since 2×276968² = 153422546048, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 276968.

It is not an unprimeable number, because it can be changed into a prime (276961) by changing a digit.

276968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518 + ... + 906.

276968 is a Friedman number, since it can be written as 6^7-2968, using all its digits and the basic arithmetic operations.

2²⁷⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

276968 is a deficient number, since it is larger than the sum of its proper divisors (249532).

276968 is a wasteful number, since it uses less digits than its factorization.

276968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 276968 is about 526.2774933436. The cubic root of 276968 is about 65.1843288519.

Subtracting 276968 from its reverse (869672), we obtain a cube (592704 = 84³).

The spelling of 276968 in words is "two hundred seventy-six thousand, nine hundred sixty-eight".