10430720 has 72 divisors (see below), whose sum is σ = 25938360. Its totient is φ = 4014080.

The previous prime is 10430713. The next prime is 10430723. The reversal of 10430720 is 2703401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1763584 + 8667136 = 1328^2 + 2944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10430723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36980 + ... + 37260.

It is an arithmetic number, because the mean of its divisors is an integer number (360255).

Almost surely, 2^10430720 is an apocalyptic number.

10430720 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 10430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969180).

10430720 is an abundant number, since it is smaller than the sum of its proper divisors (15507640).

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

10430720 is an equidigital number, since it uses as much as digits as its factorization.

10430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 10430720 is about 3229.6625210693. The cubic root of 10430720 is about 218.4932857895.

The spelling of 10430720 in words is "ten million, four hundred thirty thousand, seven hundred twenty".