9896580 has 120 divisors (see below), whose sum is σ = 32016600. Its totient is φ = 2557440.

The previous prime is 9896563. The next prime is 9896581. The reversal of 9896580 is 856989.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 9585216 = 558^2 + 3096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9896581) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66346 + ... + 66494.

It is an arithmetic number, because the mean of its divisors is an integer number (266805).

Almost surely, 2^9896580 is an apocalyptic number.

9896580 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 9896580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16008300).

9896580 is an abundant number, since it is smaller than the sum of its proper divisors (22120020).

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

9896580 is a wasteful number, since it uses less digits than its factorization.

9896580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9896580 is about 3145.8830238901. The cubic root of 9896580 is about 214.6981883849.

It can be divided in two parts, 989 and 6580, that added together give a square (7569 = 87²).

The spelling of 9896580 in words is "nine million, eight hundred ninety-six thousand, five hundred eighty".