9681840 has 240 divisors, whose sum is σ = 39693888. Its totient is φ = 2064384.

The previous prime is 9681829. The next prime is 9681883. The reversal of 9681840 is 481869.

9681840 = T₁₁₉ + T₁₂₀ + ... + T₃₉₀.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 9681795 and 9681804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85624 + ... + 85736.

Almost surely, 2^9681840 is an apocalyptic number.

9681840 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 9681840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846944).

9681840 is an abundant number, since it is smaller than the sum of its proper divisors (30012048).

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

9681840 is a wasteful number, since it uses less digits than its factorization.

9681840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9681840 is about 3111.5655223697. The cubic root of 9681840 is about 213.1339499972.

The spelling of 9681840 in words is "nine million, six hundred eighty-one thousand, eight hundred forty".