10544640 has 80 divisors (see below), whose sum is σ = 33734448. Its totient is φ = 2809856.

The previous prime is 10544629. The next prime is 10544647. The reversal of 10544640 is 4644501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10544640² = 222378865459200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10544640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10544647) 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 7 ways as a sum of consecutive naturals, for example, 6994 + ... + 8366.

Almost surely, 2^10544640 is an apocalyptic number.

10544640 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 10544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867224).

10544640 is an abundant number, since it is smaller than the sum of its proper divisors (23189808).

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

10544640 is an equidigital number, since it uses as much as digits as its factorization.

10544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10544640 is about 3247.2511451996. The cubic root of 10544640 is about 219.2858384754.

The spelling of 10544640 in words is "ten million, five hundred forty-four thousand, six hundred forty".