9961680 has 40 divisors (see below), whose sum is σ = 30881952. Its totient is φ = 2656384.

The previous prime is 9961673. The next prime is 9961687. The reversal of 9961680 is 861699.

It is an interprime number because it is at equal distance from previous prime (9961673) and next prime (9961687).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20514 + ... + 20993.

Almost surely, 2^9961680 is an apocalyptic number.

It is an amenable number.

9961680 is an abundant number, since it is smaller than the sum of its proper divisors (20920272).

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

9961680 is a wasteful number, since it uses less digits than its factorization.

9961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41523 (or 41517 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 9961680 is about 3156.2129205743. The cubic root of 9961680 is about 215.1679236152.

The spelling of 9961680 in words is "nine million, nine hundred sixty-one thousand, six hundred eighty".