16412616 has 192 divisors, whose sum is σ = 54587520. Its totient is φ = 4392960.

The previous prime is 16412569. The next prime is 16412629. The reversal of 16412616 is 61621461.

16412616 is a `hidden beast` number, since 1 + 6 + 41 + 2 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16412616.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309646 + ... + 309698.

It is an arithmetic number, because the mean of its divisors is an integer number (284310).

Almost surely, 2^16412616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16412616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27293760).

16412616 is an abundant number, since it is smaller than the sum of its proper divisors (38174904).

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

16412616 is a wasteful number, since it uses less digits than its factorization.

16412616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 16412616 is about 4051.2486963898. The cubic root of 16412616 is about 254.1319503720.

The spelling of 16412616 in words is "sixteen million, four hundred twelve thousand, six hundred sixteen".