163340416 has 64 divisors (see below), whose sum is σ = 350064000. Its totient is φ = 75672576.

The previous prime is 163340393. The next prime is 163340417. The reversal of 163340416 is 614043361.

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

It is a super-3 number, since 3×163340416³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (163340417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113590 + ... + 115018.

It is an arithmetic number, because the mean of its divisors is an integer number (5469750).

Almost surely, 2^163340416 is an apocalyptic number.

163340416 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 163340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175032000).

163340416 is an abundant number, since it is smaller than the sum of its proper divisors (186723584).

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

163340416 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (163340415) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1509).

163340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 163340416 is about 12780.4701009000. The cubic root of 163340416 is about 546.6355670060.

Adding to 163340416 its reverse (614043361), we get a palindrome (777383777).

The spelling of 163340416 in words is "one hundred sixty-three million, three hundred forty thousand, four hundred sixteen".