9661500 has 144 divisors (see below), whose sum is σ = 32366880. Its totient is φ = 2419200.

The previous prime is 9661489. The next prime is 9661507. The reversal of 9661500 is 51669.

9661500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9661507) 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, 85444 + ... + 85556.

It is an arithmetic number, because the mean of its divisors is an integer number (224770).

Almost surely, 2^9661500 is an apocalyptic number.

9661500 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 9661500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183440).

9661500 is an abundant number, since it is smaller than the sum of its proper divisors (22705380).

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

9661500 is a wasteful number, since it uses less digits than its factorization.

9661500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9661500 is about 3108.2953527617. The cubic root of 9661500 is about 212.9845918895.

The spelling of 9661500 in words is "nine million, six hundred sixty-one thousand, five hundred".