9685902240 has 336 divisors, whose sum is σ = 39213272448. Its totient is φ = 2213733888.

The previous prime is 9685902227. The next prime is 9685902277. The reversal of 9685902240 is 422095869.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 810549 + ... + 822411.

It is an arithmetic number, because the mean of its divisors is an integer number (116706168).

Almost surely, 2^9685902240 is an apocalyptic number.

9685902240 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 9685902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606636224).

9685902240 is an abundant number, since it is smaller than the sum of its proper divisors (29527370208).

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

9685902240 is a wasteful number, since it uses less digits than its factorization.

9685902240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11903 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9685902240 is about 98416.9814615344. The cubic root of 9685902240 is about 2131.6375425608.

It can be divided in two parts, 9685 and 902240, that added together give a triangular number (911925 = T₁₃₅₀).

The spelling of 9685902240 in words is "nine billion, six hundred eighty-five million, nine hundred two thousand, two hundred forty".