10749440 has 160 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 3538944.

The previous prime is 10749437. The next prime is 10749449. The reversal of 10749440 is 4494701.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10749449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565751 + ... + 565769.

It is an arithmetic number, because the mean of its divisors is an integer number (193347).

Almost surely, 2^10749440 is an apocalyptic number.

10749440 is a gapful number since it is divisible by the number (10) 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 10749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

10749440 is an abundant number, since it is smaller than the sum of its proper divisors (20186080).

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

10749440 is a wasteful number, since it uses less digits than its factorization.

10749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 10749440 is about 3278.6338618394. The cubic root of 10749440 is about 220.6964157412.

The spelling of 10749440 in words is "ten million, seven hundred forty-nine thousand, four hundred forty".