961116642 has 24 divisors (see below), whose sum is σ = 2083015116. Its totient is φ = 320280576.

The previous prime is 961116631. The next prime is 961116649. The reversal of 961116642 is 246611169.

961116642 is a `hidden beast` number, since 9 + 6 + 1 + 1 + 1 + 6 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 869129361 + 91987281 = 29481^2 + 9591^2 .

It is a junction number, because it is equal to n+sod(n) for n = 961116597 and 961116606.

It is not an unprimeable number, because it can be changed into a prime (961116649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92578 + ... + 102434.

Almost surely, 2^961116642 is an apocalyptic number.

961116642 is an abundant number, since it is smaller than the sum of its proper divisors (1121898474).

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

961116642 is a wasteful number, since it uses less digits than its factorization.

961116642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15282 (or 15279 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 961116642 is about 31001.8812654974. The cubic root of 961116642 is about 986.8671643060.

The spelling of 961116642 in words is "nine hundred sixty-one million, one hundred sixteen thousand, six hundred forty-two".