1608352416 has 384 divisors, whose sum is σ = 5434490880. Its totient is φ = 458265600.

The previous prime is 1608352409. The next prime is 1608352423. The reversal of 1608352416 is 6142538061.

It is a happy number.

1608352416 is a `hidden beast` number, since 1 + 608 + 3 + 5 + 2 + 41 + 6 = 666.

1608352416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1608352409) and next prime (1608352423).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15615021 + ... + 15615123.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 2^1608352416 is an apocalyptic number.

1608352416 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 1608352416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717245440).

1608352416 is an abundant number, since it is smaller than the sum of its proper divisors (3826138464).

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

1608352416 is a wasteful number, since it uses less digits than its factorization.

1608352416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1608352416 is about 40104.2692989163. The cubic root of 1608352416 is about 1171.6387817768.

The spelling of 1608352416 in words is "one billion, six hundred eight million, three hundred fifty-two thousand, four hundred sixteen".