1608368416 has 24 divisors (see below), whose sum is σ = 3177300924. Its totient is φ = 801434880.

The previous prime is 1608368413. The next prime is 1608368417. The reversal of 1608368416 is 6148638061.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1584358416 + 24010000 = 39804^2 + 4900^2 .

It is a super-3 number, since 3×1608368416³ (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1608368413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76395 + ... + 95146.

Almost surely, 2^1608368416 is an apocalyptic number.

1608368416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1608368416 is a deficient number, since it is larger than the sum of its proper divisors (1568932508).

1608368416 is a wasteful number, since it uses less digits than its factorization.

1608368416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171844 (or 171836 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 1608368416 is about 40104.4687784292. The cubic root of 1608368416 is about 1171.6426669449.

The spelling of 1608368416 in words is "one billion, six hundred eight million, three hundred sixty-eight thousand, four hundred sixteen".