10338144 has 48 divisors (see below), whose sum is σ = 27406512. Its totient is φ = 3411968.

The previous prime is 10338143. The next prime is 10338169. The reversal of 10338144 is 44183301.

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 not an unprimeable number, because it can be changed into a prime (10338143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10372 + ... + 11324.

It is an arithmetic number, because the mean of its divisors is an integer number (570969).

Almost surely, 2^10338144 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 10338144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13703256).

10338144 is an abundant number, since it is smaller than the sum of its proper divisors (17068368).

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

10338144 is a wasteful number, since it uses less digits than its factorization.

10338144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10338144 is about 3215.2984309392. The cubic root of 10338144 is about 217.8449645385.

The spelling of 10338144 in words is "ten million, three hundred thirty-eight thousand, one hundred forty-four".