9661680 has 240 divisors, whose sum is σ = 38997504. Its totient is φ = 2177280.

The previous prime is 9661667. The next prime is 9661681. The reversal of 9661680 is 861669.

9661680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9661681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136045 + ... + 136115.

Almost surely, 2^9661680 is an apocalyptic number.

9661680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

9661680 is an abundant number, since it is smaller than the sum of its proper divisors (29335824).

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

9661680 is a wasteful number, since it uses less digits than its factorization.

9661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

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

The square root of 9661680 is about 3108.3243074042. The cubic root of 9661680 is about 212.9859145615.

It can be divided in two parts, 96 and 61680, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 9661680 in words is "nine million, six hundred sixty-one thousand, six hundred eighty".