10954944 has 336 divisors, whose sum is σ = 44378880. Its totient is φ = 2488320.

The previous prime is 10954907. The next prime is 10954967. The reversal of 10954944 is 44945901.

It is a happy number.

10954944 is a `hidden beast` number, since 109 + 549 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 10954899 and 10954908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576567 + ... + 576585.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

Almost surely, 2^10954944 is an apocalyptic number.

10954944 is a gapful number since it is divisible by the number (14) 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 10954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

10954944 is an abundant number, since it is smaller than the sum of its proper divisors (33423936).

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

10954944 is a wasteful number, since it uses less digits than its factorization.

10954944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10954944 is about 3309.8253730371. The cubic root of 10954944 is about 222.0939461160.

The spelling of 10954944 in words is "ten million, nine hundred fifty-four thousand, nine hundred forty-four".