10807416 has 48 divisors (see below), whose sum is σ = 29421600. Its totient is φ = 3583872.

The previous prime is 10807411. The next prime is 10807429. The reversal of 10807416 is 61470801.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10807416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10807411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26220 + ... + 26628.

It is an arithmetic number, because the mean of its divisors is an integer number (612950).

Almost surely, 2^10807416 is an apocalyptic number.

It is an amenable number.

10807416 is an abundant number, since it is smaller than the sum of its proper divisors (18614184).

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

10807416 is a wasteful number, since it uses less digits than its factorization.

10807416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10807416 is about 3287.4634598730. The cubic root of 10807416 is about 221.0924723750.

The spelling of 10807416 in words is "ten million, eight hundred seven thousand, four hundred sixteen".