1960806961 has 3 divisors (see below), whose sum is σ = 1960851243. Its totient is φ = 1960762680.

The previous prime is 1960806917. The next prime is 1960806977. The reversal of 1960806961 is 1696080691.

The square root of 1960806961 is 44281.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1696080691 = 43 ⋅39443737.

It can be written as a sum of positive squares in only one way, i.e., 421029361 + 1539777600 = 20519^2 + 39240^2 .

It is not a de Polignac number, because 1960806961 - 2¹³ = 1960798769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1960806901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 22141 + ... + 66421.

It is an arithmetic number, because the mean of its divisors is an integer number (653617081).

Almost surely, 2^1960806961 is an apocalyptic number.

1960806961 is the 44281-st square number.

1960806961 is the 22141-st centered octagonal number.

It is an amenable number.

1960806961 is a deficient number, since it is larger than the sum of its proper divisors (44282).

1960806961 is an frugal number, since it uses more digits than its factorization.

1960806961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88562 (or 44281 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The cubic root of 1960806961 is about 1251.6366744488.

The spelling of 1960806961 in words is "one billion, nine hundred sixty million, eight hundred six thousand, nine hundred sixty-one".