10416816 has 40 divisors (see below), whose sum is σ = 29901360. Its totient is φ = 3472128.

The previous prime is 10416797. The next prime is 10416823. The reversal of 10416816 is 61861401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10416816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11625 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (747534).

Almost surely, 2^10416816 is an apocalyptic number.

10416816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10416816 is an abundant number, since it is smaller than the sum of its proper divisors (19484544).

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

10416816 is a wasteful number, since it uses less digits than its factorization.

10416816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24130 (or 24118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10416816 is about 3227.5092563771. The cubic root of 10416816 is about 218.3961598165.

The spelling of 10416816 in words is "ten million, four hundred sixteen thousand, eight hundred sixteen".