10446144 has 56 divisors (see below), whose sum is σ = 28334208. Its totient is φ = 3394560.

The previous prime is 10446083. The next prime is 10446167. The reversal of 10446144 is 44164401.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 7209 + ... + 8535.

It is an arithmetic number, because the mean of its divisors is an integer number (505968).

Almost surely, 2^10446144 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 10446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14167104).

10446144 is an abundant number, since it is smaller than the sum of its proper divisors (17888064).

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

10446144 is a wasteful number, since it uses less digits than its factorization.

10446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 10446144 is about 3232.0495045714. The cubic root of 10446144 is about 218.6009287486.

The spelling of 10446144 in words is "ten million, four hundred forty-six thousand, one hundred forty-four".