10366416 has 60 divisors (see below), whose sum is σ = 29240068. Its totient is φ = 3428352.

The previous prime is 10366357. The next prime is 10366417. The reversal of 10366416 is 61466301.

10366416 is a `hidden beast` number, since 10 + 3 + 6 + 641 + 6 = 666.

10366416 is nontrivially palindromic in base 11.

10366416 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 can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 6350400 = 2004^2 + 2520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10366416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10366417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27606 + ... + 27978.

Almost surely, 2^10366416 is an apocalyptic number.

10366416 is a gapful number since it is divisible by the number (16) 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 10366416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620034).

10366416 is an abundant number, since it is smaller than the sum of its proper divisors (18873652).

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

10366416 is a wasteful number, since it uses less digits than its factorization.

10366416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10366416 is about 3219.6919107269. The cubic root of 10366416 is about 218.0433659485.

The spelling of 10366416 in words is "ten million, three hundred sixty-six thousand, four hundred sixteen".