10407216 has 40 divisors (see below), whose sum is σ = 27076144. Its totient is φ = 3444480.

The previous prime is 10407209. The next prime is 10407263. The reversal of 10407216 is 61270401.

10407216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10407192 and 10407201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6846 + ... + 8226.

Almost surely, 2^10407216 is an apocalyptic number.

10407216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10407216 is an abundant number, since it is smaller than the sum of its proper divisors (16668928).

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

10407216 is a wasteful number, since it uses less digits than its factorization.

10407216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10407216 is about 3226.0216986251. The cubic root of 10407216 is about 218.3290488576.

Adding to 10407216 its reverse (61270401), we get a palindrome (71677617).

It can be divided in two parts, 1040 and 7216, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 10407216 in words is "ten million, four hundred seven thousand, two hundred sixteen".