9661611960 has 896 divisors, whose sum is σ = 43893480960. Its totient is φ = 1847577600.

The previous prime is 9661611919. The next prime is 9661611979. The reversal of 9661611960 is 691161669.

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 223 ways as a sum of consecutive naturals, for example, 29188995 + ... + 29189325.

It is an arithmetic number, because the mean of its divisors is an integer number (48988260).

Almost surely, 2^9661611960 is an apocalyptic number.

9661611960 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 9661611960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946740480).

9661611960 is an abundant number, since it is smaller than the sum of its proper divisors (34231869000).

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

9661611960 is a wasteful number, since it uses less digits than its factorization.

9661611960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 9661611960 is about 98293.4990729295. The cubic root of 9661611960 is about 2129.8541459342.

The spelling of 9661611960 in words is "nine billion, six hundred sixty-one million, six hundred eleven thousand, nine hundred sixty".