10339440 has 80 divisors (see below), whose sum is σ = 32581248. Its totient is φ = 2711808.

The previous prime is 10339429. The next prime is 10339487. The reversal of 10339440 is 4493301.

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

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 10339440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15759 + ... + 16401.

Almost surely, 2^10339440 is an apocalyptic number.

10339440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3215×3216.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10339440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290624).

10339440 is an abundant number, since it is smaller than the sum of its proper divisors (22241808).

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

10339440 is a wasteful number, since it uses less digits than its factorization.

10339440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10339440 is about 3215.4999611258. The cubic root of 10339440 is about 217.8540672452.

The spelling of 10339440 in words is "ten million, three hundred thirty-nine thousand, four hundred forty".