9975280 has 80 divisors (see below), whose sum is σ = 27141120. Its totient is φ = 3338496.

The previous prime is 9975263. The next prime is 9975281. The reversal of 9975280 is 825799.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×9975280² = 199012422156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26131 + ... + 26509.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 2^9975280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

9975280 is an abundant number, since it is smaller than the sum of its proper divisors (17165840).

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

9975280 is a wasteful number, since it uses less digits than its factorization.

9975280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 9975280 is about 3158.3666664908. The cubic root of 9975280 is about 215.2657971026.

The spelling of 9975280 in words is "nine million, nine hundred seventy-five thousand, two hundred eighty".