9505980 has 72 divisors (see below), whose sum is σ = 31462704. Its totient is φ = 2304000.

The previous prime is 9505963. The next prime is 9505981. The reversal of 9505980 is 895059.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9505981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421 + ... + 4380.

It is an arithmetic number, because the mean of its divisors is an integer number (436982).

Almost surely, 2^9505980 is an apocalyptic number.

9505980 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 9505980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15731352).

9505980 is an abundant number, since it is smaller than the sum of its proper divisors (21956724).

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

9505980 is a wasteful number, since it uses less digits than its factorization.

9505980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9505980 is about 3083.1769329703. The cubic root of 9505980 is about 211.8356088829.

The spelling of 9505980 in words is "nine million, five hundred five thousand, nine hundred eighty".