9688087440 has 240 divisors, whose sum is σ = 33731912448. Its totient is φ = 2490200064.

The previous prime is 9688087433. The next prime is 9688087447. The reversal of 9688087440 is 447808869.

It is an interprime number because it is at equal distance from previous prime (9688087433) and next prime (9688087447).

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

It is not an unprimeable number, because it can be changed into a prime (9688087447) 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, 2265144 + ... + 2269416.

Almost surely, 2^9688087440 is an apocalyptic number.

9688087440 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 9688087440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865956224).

9688087440 is an abundant number, since it is smaller than the sum of its proper divisors (24043825008).

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

9688087440 is a wasteful number, since it uses less digits than its factorization.

9688087440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 9688087440 is about 98428.0825780935. The cubic root of 9688087440 is about 2131.7978340852.

The spelling of 9688087440 in words is "nine billion, six hundred eighty-eight million, eighty-seven thousand, four hundred forty".