9961968 has 20 divisors (see below), whose sum is σ = 25735208. Its totient is φ = 3320640.

The previous prime is 9961961. The next prime is 9961981. The reversal of 9961968 is 8691699.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 207541 = 9961968 / (9 + 9 + 6 + 1 + 9 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103723 + ... + 103818.

Almost surely, 2^9961968 is an apocalyptic number.

It is an amenable number.

9961968 is an abundant number, since it is smaller than the sum of its proper divisors (15773240).

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

9961968 is a wasteful number, since it uses less digits than its factorization.

9961968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207552 (or 207546 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 9961968 is about 3156.2585445429. The cubic root of 9961968 is about 215.1699971531.

The spelling of 9961968 in words is "nine million, nine hundred sixty-one thousand, nine hundred sixty-eight".