10009760 has 48 divisors (see below), whose sum is σ = 23999976. Its totient is φ = 3944448.

The previous prime is 10009729. The next prime is 10009777. The reversal of 10009760 is 6790001.

10009760 = 126² + 127² + ... + 317².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9709456 + 300304 = 3116^2 + 548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11252 + ... + 12108.

Almost surely, 2^10009760 is an apocalyptic number.

10009760 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 10009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999988).

10009760 is an abundant number, since it is smaller than the sum of its proper divisors (13990216).

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

10009760 is an equidigital number, since it uses as much as digits as its factorization.

10009760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 10009760 is about 3163.8204753115. The cubic root of 10009760 is about 215.5135371545.

Adding to 10009760 its reverse (6790001), we get a palindrome (16799761).

The spelling of 10009760 in words is "ten million, nine thousand, seven hundred sixty".