1608169248 has 384 divisors, whose sum is σ = 5682700800. Its totient is φ = 432746496.

The previous prime is 1608169201. The next prime is 1608169259. The reversal of 1608169248 is 8429618061.

1608169248 is a `hidden beast` number, since 1 + 608 + 16 + 9 + 24 + 8 = 666.

It is a super-3 number, since 3×1608169248³ (a number of 29 digits) contains 333 as substring.

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, 9295690 + ... + 9295862.

It is an arithmetic number, because the mean of its divisors is an integer number (14798700).

Almost surely, 2^1608169248 is an apocalyptic number.

1608169248 is a gapful number since it is divisible by the number (18) 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 1608169248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841350400).

1608169248 is an abundant number, since it is smaller than the sum of its proper divisors (4074531552).

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

1608169248 is a wasteful number, since it uses less digits than its factorization.

1608169248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1608169248 is about 40101.9855867512. The cubic root of 1608169248 is about 1171.5943025367.

The spelling of 1608169248 in words is "one billion, six hundred eight million, one hundred sixty-nine thousand, two hundred forty-eight".