10724406 has 64 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 2748960.

The previous prime is 10724393. The next prime is 10724423. The reversal of 10724406 is 60442701.

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 31 ways as a sum of consecutive naturals, for example, 64135 + ... + 64301.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^10724406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10724406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

10724406 is an abundant number, since it is smaller than the sum of its proper divisors (16370634).

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

10724406 is a wasteful number, since it uses less digits than its factorization.

10724406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10724406 is about 3274.8138878416. The cubic root of 10724406 is about 220.5249584821.

The spelling of 10724406 in words is "ten million, seven hundred twenty-four thousand, four hundred six".