10985640 has 64 divisors (see below), whose sum is σ = 33739200. Its totient is φ = 2860032.

The previous prime is 10985609. The next prime is 10985641. The reversal of 10985640 is 4658901.

It is not an unprimeable number, because it can be changed into a prime (10985641) 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, 4096 + ... + 6224.

It is an arithmetic number, because the mean of its divisors is an integer number (527175).

Almost surely, 2^10985640 is an apocalyptic number.

10985640 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 10985640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869600).

10985640 is an abundant number, since it is smaller than the sum of its proper divisors (22753560).

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

10985640 is a wasteful number, since it uses less digits than its factorization.

10985640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10985640 is about 3314.4592319110. The cubic root of 10985640 is about 222.3011900832.

The spelling of 10985640 in words is "ten million, nine hundred eighty-five thousand, six hundred forty".