10344960 has 120 divisors (see below), whose sum is σ = 35907300. Its totient is φ = 2752512.

The previous prime is 10344923. The next prime is 10344973. The reversal of 10344960 is 6944301.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 2304 = 3216^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22816 + ... + 23264.

Almost surely, 2^10344960 is an apocalyptic number.

10344960 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 10344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953650).

10344960 is an abundant number, since it is smaller than the sum of its proper divisors (25562340).

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

10344960 is an equidigital number, since it uses as much as digits as its factorization.

10344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10344960 is about 3216.3581890082. The cubic root of 10344960 is about 217.8928295157.

The spelling of 10344960 in words is "ten million, three hundred forty-four thousand, nine hundred sixty".