10649844 has 54 divisors (see below), whose sum is σ = 28127190. Its totient is φ = 3393600.

The previous prime is 10649843. The next prime is 10649867. The reversal of 10649844 is 44894601.

It is a happy number.

10649844 is a `hidden beast` number, since 1 + 0 + 649 + 8 + 4 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7452900 + 3196944 = 2730^2 + 1788^2 .

It is a super-2 number, since 2×10649844² = 226838354448672, which contains 22 as substring.

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 = 10649799 and 10649808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10649843) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105394 + ... + 105494.

Almost surely, 2^10649844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10649844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063595).

10649844 is an abundant number, since it is smaller than the sum of its proper divisors (17477346).

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

10649844 is a wasteful number, since it uses less digits than its factorization.

10649844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10649844 is about 3263.4098731235. The cubic root of 10649844 is about 220.0126989915.

The spelling of 10649844 in words is "ten million, six hundred forty-nine thousand, eight hundred forty-four".