16812416 has 64 divisors (see below), whose sum is σ = 36556800. Its totient is φ = 7672320.

The previous prime is 16812413. The next prime is 16812437. The reversal of 16812416 is 61421861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16812413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75281 + ... + 75503.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 2^16812416 is an apocalyptic number.

16812416 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 16812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278400).

16812416 is an abundant number, since it is smaller than the sum of its proper divisors (19744384).

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

16812416 is a wasteful number, since it uses less digits than its factorization.

16812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 16812416 is about 4100.2946235606. The cubic root of 16812416 is about 256.1789113929.

The spelling of 16812416 in words is "sixteen million, eight hundred twelve thousand, four hundred sixteen".