10646144 has 32 divisors (see below), whose sum is σ = 21901440. Its totient is φ = 5149440.

The previous prime is 10646143. The next prime is 10646159. The reversal of 10646144 is 44164601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10646144² = 226680764137472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10646143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2627 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (684420).

Almost surely, 2^10646144 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 10646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950720).

10646144 is an abundant number, since it is smaller than the sum of its proper divisors (11255296).

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

10646144 is an equidigital number, since it uses as much as digits as its factorization.

10646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 10646144 is about 3262.8429321682. The cubic root of 10646144 is about 219.9872168881.

The spelling of 10646144 in words is "ten million, six hundred forty-six thousand, one hundred forty-four".