10008960 has 128 divisors (see below), whose sum is σ = 34443360. Its totient is φ = 2457600.

The previous prime is 10008959. The next prime is 10008967. The reversal of 10008960 is 6980001.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10008960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24760 + ... + 25160.

Almost surely, 2^10008960 is an apocalyptic number.

10008960 is a gapful number since it is divisible by the number (10) 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 10008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221680).

10008960 is an abundant number, since it is smaller than the sum of its proper divisors (24434400).

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

10008960 is a wasteful number, since it uses less digits than its factorization.

10008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10008960 is about 3163.6940433613. The cubic root of 10008960 is about 215.5077955776.

Adding to 10008960 its reverse (6980001), we get a palindrome (16988961).

The spelling of 10008960 in words is "ten million, eight thousand, nine hundred sixty".