1608284160 has 480 divisors, whose sum is σ = 6611885280. Its totient is φ = 366280704.

The previous prime is 1608284141. The next prime is 1608284191. The reversal of 1608284160 is 614828061.

1608284160 is a `hidden beast` number, since 1 + 608 + 2 + 8 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5805942 + ... + 5806218.

It is an arithmetic number, because the mean of its divisors is an integer number (13774761).

Almost surely, 2^1608284160 is an apocalyptic number.

1608284160 is a gapful number since it is divisible by the number (10) 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 1608284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305942640).

1608284160 is an abundant number, since it is smaller than the sum of its proper divisors (5003601120).

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

1608284160 is an equidigital number, since it uses as much as digits as its factorization.

1608284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1608284160 is about 40103.4183081692. The cubic root of 1608284160 is about 1171.6222073604.

The spelling of 1608284160 in words is "one billion, six hundred eight million, two hundred eighty-four thousand, one hundred sixty".