9688140 has 192 divisors, whose sum is σ = 37739520. Its totient is φ = 2004480.

The previous prime is 9688139. The next prime is 9688141. The reversal of 9688140 is 418869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9688139) and next prime (9688141).

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 = 9688095 and 9688104.

It is not an unprimeable number, because it can be changed into a prime (9688141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41464 + ... + 41696.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^9688140 is an apocalyptic number.

9688140 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 9688140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

9688140 is an abundant number, since it is smaller than the sum of its proper divisors (28051380).

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

9688140 is a wasteful number, since it uses less digits than its factorization.

9688140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

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

The square root of 9688140 is about 3112.5777098733. The cubic root of 9688140 is about 213.1801689235.

The spelling of 9688140 in words is "nine million, six hundred eighty-eight thousand, one hundred forty".