10985670 has 48 divisors (see below), whose sum is σ = 29343600. Its totient is φ = 2849472.

The previous prime is 10985659. The next prime is 10985677. The reversal of 10985670 is 7658901.

10985670 is a `hidden beast` number, since 1 + 0 + 98 + 567 + 0 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985677) 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 23 ways as a sum of consecutive naturals, for example, 1681 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (611325).

Almost surely, 2^10985670 is an apocalyptic number.

10985670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10985670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671800).

10985670 is an abundant number, since it is smaller than the sum of its proper divisors (18357930).

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

10985670 is a wasteful number, since it uses less digits than its factorization.

10985670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10985670 is about 3314.4637575330. The cubic root of 10985670 is about 222.3013924391.

The spelling of 10985670 in words is "ten million, nine hundred eighty-five thousand, six hundred seventy".