10248144 has 80 divisors (see below), whose sum is σ = 29551680. Its totient is φ = 3041280.

The previous prime is 10248143. The next prime is 10248151. The reversal of 10248144 is 44184201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10248143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15174 + ... + 15834.

It is an arithmetic number, because the mean of its divisors is an integer number (369396).

Almost surely, 2^10248144 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 10248144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14775840).

10248144 is an abundant number, since it is smaller than the sum of its proper divisors (19303536).

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

10248144 is a wasteful number, since it uses less digits than its factorization.

10248144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

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

The square root of 10248144 is about 3201.2722470918. The cubic root of 10248144 is about 217.2109623464.

The spelling of 10248144 in words is "ten million, two hundred forty-eight thousand, one hundred forty-four".