10482144 has 48 divisors (see below), whose sum is σ = 27751248. Its totient is φ = 3464192.

The previous prime is 10482139. The next prime is 10482151. The reversal of 10482144 is 44128401.

It is a tau number, because it is divible by the number of its divisors (48).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12754 + ... + 13550.

It is an arithmetic number, because the mean of its divisors is an integer number (578151).

Almost surely, 2^10482144 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 10482144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875624).

10482144 is an abundant number, since it is smaller than the sum of its proper divisors (17269104).

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

10482144 is a wasteful number, since it uses less digits than its factorization.

10482144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 10482144 is about 3237.6139362191. The cubic root of 10482144 is about 218.8517584796.

The spelling of 10482144 in words is "ten million, four hundred eighty-two thousand, one hundred forty-four".