10509660 has 144 divisors (see below), whose sum is σ = 38438400. Its totient is φ = 2270592.

The previous prime is 10509649. The next prime is 10509661. The reversal of 10509660 is 6690501.

It is a super-2 number, since 2×10509660² = 220905906631200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10509661) 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 47 ways as a sum of consecutive naturals, for example, 23721 + ... + 24159.

Almost surely, 2^10509660 is an apocalyptic number.

10509660 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 10509660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19219200).

10509660 is an abundant number, since it is smaller than the sum of its proper divisors (27928740).

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

10509660 is a wasteful number, since it uses less digits than its factorization.

10509660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10509660 is about 3241.8605768910. The cubic root of 10509660 is about 219.0430890383.

The spelling of 10509660 in words is "ten million, five hundred nine thousand, six hundred sixty".