10753344 has 168 divisors, whose sum is σ = 37063680. Its totient is φ = 3048192.

The previous prime is 10753343. The next prime is 10753349. The reversal of 10753344 is 44335701.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84609 + ... + 84735.

Almost surely, 2^10753344 is an apocalyptic number.

10753344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531840).

10753344 is an abundant number, since it is smaller than the sum of its proper divisors (26310336).

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

10753344 is a wasteful number, since it uses less digits than its factorization.

10753344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 10753344 is about 3279.2291777184. The cubic root of 10753344 is about 220.7231301413.

The spelling of 10753344 in words is "ten million, seven hundred fifty-three thousand, three hundred forty-four".