9970560 has 128 divisors (see below), whose sum is σ = 35373600. Its totient is φ = 2654208.

The previous prime is 9970549. The next prime is 9970567. The reversal of 9970560 is 650799.

9970560 is a `hidden beast` number, since 9 + 97 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (9970567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16992 + ... + 17568.

Almost surely, 2^9970560 is an apocalyptic number.

9970560 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 9970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686800).

9970560 is an abundant number, since it is smaller than the sum of its proper divisors (25403040).

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

9970560 is a wasteful number, since it uses less digits than its factorization.

9970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 9970560 is about 3157.6193564139. The cubic root of 9970560 is about 215.2318393303.

The spelling of 9970560 in words is "nine million, nine hundred seventy thousand, five hundred sixty".