10816416 has 144 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 3297024.

The previous prime is 10816409. The next prime is 10816441. The reversal of 10816416 is 61461801.

10816416 is a `hidden beast` number, since 10 + 8 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 10816416.

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, 101035 + ... + 101141.

It is an arithmetic number, because the mean of its divisors is an integer number (240786).

Almost surely, 2^10816416 is an apocalyptic number.

10816416 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 10816416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

10816416 is an abundant number, since it is smaller than the sum of its proper divisors (23856768).

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

10816416 is a wasteful number, since it uses less digits than its factorization.

10816416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

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

The square root of 10816416 is about 3288.8320115202. The cubic root of 10816416 is about 221.1538277799.

It can be divided in two parts, 1081641 and 6, that multiplied together give a palindrome (6489846).

The spelling of 10816416 in words is "ten million, eight hundred sixteen thousand, four hundred sixteen".