10947006 has 48 divisors (see below), whose sum is σ = 27291264. Its totient is φ = 3106512.

The previous prime is 10946989. The next prime is 10947023. The reversal of 10947006 is 60074901.

It is an interprime number because it is at equal distance from previous prime (10946989) and next prime (10947023).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35505 + ... + 35811.

It is an arithmetic number, because the mean of its divisors is an integer number (568568).

Almost surely, 2^10947006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10947006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645632).

10947006 is an abundant number, since it is smaller than the sum of its proper divisors (16344258).

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

10947006 is a wasteful number, since it uses less digits than its factorization.

10947006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10947006 is about 3308.6259988098. The cubic root of 10947006 is about 222.0402897414.

It can be divided in two parts, 1094 and 7006, that added together give a square (8100 = 90²).

The spelling of 10947006 in words is "ten million, nine hundred forty-seven thousand, six".