676964961 has 12 divisors (see below), whose sum is σ = 984402900. Its totient is φ = 448280160.

The previous prime is 676964947. The next prime is 676964993. The reversal of 676964961 is 169469676.

676964961 is a `hidden beast` number, since 67 + 6 + 96 + 496 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278723025 + 398241936 = 16695^2 + 19956^2 .

It is not a de Polignac number, because 676964961 - 2²⁶ = 609856097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 676964898 and 676964907.

It is not an unprimeable number, because it can be changed into a prime (676969961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251070 + ... + 253751.

It is an arithmetic number, because the mean of its divisors is an integer number (82033575).

Almost surely, 2^676964961 is an apocalyptic number.

It is an amenable number.

676964961 is a deficient number, since it is larger than the sum of its proper divisors (307437939).

676964961 is a wasteful number, since it uses less digits than its factorization.

676964961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504976 (or 504973 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 676964961 is about 26018.5503247202. The cubic root of 676964961 is about 878.0556939953.

The spelling of 676964961 in words is "six hundred seventy-six million, nine hundred sixty-four thousand, nine hundred sixty-one".