10724430 has 64 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 2739456.

The previous prime is 10724429. The next prime is 10724437. The reversal of 10724430 is 3442701.

It is a junction number, because it is equal to n+sod(n) for n = 10724397 and 10724406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10724437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 129169 + ... + 129251.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 2^10724430 is an apocalyptic number.

10724430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10724430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

10724430 is an abundant number, since it is smaller than the sum of its proper divisors (16128690).

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

10724430 is a wasteful number, since it uses less digits than its factorization.

10724430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 10724430 is about 3274.8175521699. The cubic root of 10724430 is about 220.5251229852.

The spelling of 10724430 in words is "ten million, seven hundred twenty-four thousand, four hundred thirty".