10005640 has 32 divisors (see below), whose sum is σ = 23065560. Its totient is φ = 3904000.

The previous prime is 10005631. The next prime is 10005641. The reversal of 10005640 is 4650001.

It can be written as a sum of positive squares in 4 ways, for example, as 6061444 + 3944196 = 2462^2 + 1986^2 .

It is a super-2 number, since 2×10005640² = 200225663619200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1411 + ... + 4690.

Almost surely, 2^10005640 is an apocalyptic number.

10005640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005640 is an abundant number, since it is smaller than the sum of its proper divisors (13059920).

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

10005640 is a wasteful number, since it uses less digits than its factorization.

10005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10005640 is about 3163.1692967655. The cubic root of 10005640 is about 215.4839647631.

Adding to 10005640 its reverse (4650001), we get a palindrome (14655641).

The spelling of 10005640 in words is "ten million, five thousand, six hundred forty".