10947000 has 128 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 2816000.

The previous prime is 10946989. The next prime is 10947023. The reversal of 10947000 is 74901.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 122956 + ... + 123044.

Almost surely, 2^10947000 is an apocalyptic number.

10947000 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 10947000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

10947000 is an abundant number, since it is smaller than the sum of its proper divisors (24433800).

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

10947000 is a wasteful number, since it uses less digits than its factorization.

10947000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10947000 is about 3308.6250920889. The cubic root of 10947000 is about 222.0402491750.

The spelling of 10947000 in words is "ten million, nine hundred forty-seven thousand".