10406724 has 12 divisors (see below), whose sum is σ = 24282384. Its totient is φ = 3468904.

The previous prime is 10406723. The next prime is 10406729. The reversal of 10406724 is 42760401.

10406724 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×10406724³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10406694 and 10406703.

It is not an unprimeable number, because it can be changed into a prime (10406723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 433602 + ... + 433625.

It is an arithmetic number, because the mean of its divisors is an integer number (2023532).

Almost surely, 2^10406724 is an apocalyptic number.

It is an amenable number.

10406724 is an abundant number, since it is smaller than the sum of its proper divisors (13875660).

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

10406724 is a wasteful number, since it uses less digits than its factorization.

10406724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867234 (or 867232 counting only the distinct ones).

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

The square root of 10406724 is about 3225.9454428121. The cubic root of 10406724 is about 218.3256083094.

The spelling of 10406724 in words is "ten million, four hundred six thousand, seven hundred twenty-four".