163600416 has 108 divisors (see below), whose sum is σ = 541242702. Its totient is φ = 46738944.

The previous prime is 163600379. The next prime is 163600417. The reversal of 163600416 is 614006361.

163600416 is a `hidden beast` number, since 16 + 3 + 600 + 41 + 6 = 666.

163600416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 63680400 = 9996^2 + 7980^2 .

It is a super-2 number, since 2×163600416² = 53530192230746112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 163600416.

It is not an unprimeable number, because it can be changed into a prime (163600417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8316 + ... + 19908.

Almost surely, 2^163600416 is an apocalyptic number.

163600416 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 163600416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270621351).

163600416 is an abundant number, since it is smaller than the sum of its proper divisors (377642286).

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

163600416 is a wasteful number, since it uses less digits than its factorization.

163600416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11623 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 163600416 is about 12790.6378261602. The cubic root of 163600416 is about 546.9254521987.

Adding to 163600416 its reverse (614006361), we get a palindrome (777606777).

The spelling of 163600416 in words is "one hundred sixty-three million, six hundred thousand, four hundred sixteen".