10947456 has 192 divisors, whose sum is σ = 36756720. Its totient is φ = 3096576.

The previous prime is 10947437. The next prime is 10947457. The reversal of 10947456 is 65474901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10947456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10947457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254571 + ... + 254613.

Almost surely, 2^10947456 is an apocalyptic number.

10947456 is a gapful number since it is divisible by the number (16) 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 10947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360).

10947456 is an abundant number, since it is smaller than the sum of its proper divisors (25809264).

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

10947456 is a wasteful number, since it uses less digits than its factorization.

10947456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 10947456 is about 3308.6940021706. The cubic root of 10947456 is about 222.0433321794.

The spelling of 10947456 in words is "ten million, nine hundred forty-seven thousand, four hundred fifty-six".