10875744 has 72 divisors (see below), whose sum is σ = 33749352. Its totient is φ = 3294720.

The previous prime is 10875727. The next prime is 10875749. The reversal of 10875744 is 44757801.

10875744 is a `hidden beast` number, since 1 + 0 + 87 + 574 + 4 = 666.

10875744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10875699 and 10875708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10875749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1452 + ... + 4884.

It is an arithmetic number, because the mean of its divisors is an integer number (468741).

Almost surely, 2^10875744 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 10875744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874676).

10875744 is an abundant number, since it is smaller than the sum of its proper divisors (22873608).

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

10875744 is a wasteful number, since it uses less digits than its factorization.

10875744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 10875744 is about 3297.8392926278. The cubic root of 10875744 is about 221.5574333824.

It can be divided in two parts, 108757 and 44, that added together give a palindrome (108801).

The spelling of 10875744 in words is "ten million, eight hundred seventy-five thousand, seven hundred forty-four".