10985560 has 32 divisors (see below), whose sum is σ = 24863040. Its totient is φ = 4368384.

The previous prime is 10985549. The next prime is 10985561. The reversal of 10985560 is 6558901.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985561) 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, 7009 + ... + 8431.

It is an arithmetic number, because the mean of its divisors is an integer number (776970).

Almost surely, 2^10985560 is an apocalyptic number.

10985560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10985560 is an abundant number, since it is smaller than the sum of its proper divisors (13877480).

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

10985560 is a wasteful number, since it uses less digits than its factorization.

10985560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 10985560 is about 3314.4471635553. The cubic root of 10985560 is about 222.3006504654.

The spelling of 10985560 in words is "ten million, nine hundred eighty-five thousand, five hundred sixty".