9607890816 has 480 divisors, whose sum is σ = 32163745680. Its totient is φ = 2836684800.

The previous prime is 9607890757. The next prime is 9607890829. The reversal of 9607890816 is 6180987069.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63628341 + ... + 63628491.

Almost surely, 2^9607890816 is an apocalyptic number.

9607890816 is a gapful number since it is divisible by the number (96) 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 9607890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16081872840).

9607890816 is an abundant number, since it is smaller than the sum of its proper divisors (22555854864).

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

9607890816 is a wasteful number, since it uses less digits than its factorization.

9607890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9607890816 is about 98019.8490919059. The cubic root of 9607890816 is about 2125.8992874516.

The spelling of 9607890816 in words is "nine billion, six hundred seven million, eight hundred ninety thousand, eight hundred sixteen".