10406916 has 72 divisors (see below), whose sum is σ = 29144024. Its totient is φ = 3110400.

The previous prime is 10406867. The next prime is 10406933. The reversal of 10406916 is 61960401.

It can be written as a sum of positive squares in 4 ways, for example, as 3437316 + 6969600 = 1854^2 + 2640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10406916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17016 + ... + 17616.

Almost surely, 2^10406916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10406916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572012).

10406916 is an abundant number, since it is smaller than the sum of its proper divisors (18737108).

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

10406916 is a wasteful number, since it uses less digits than its factorization.

10406916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10406916 is about 3225.9752013926. The cubic root of 10406916 is about 218.3269509753.

The spelling of 10406916 in words is "ten million, four hundred six thousand, nine hundred sixteen".