1608214920 has 256 divisors, whose sum is σ = 5366995200. Its totient is φ = 383078400.

The previous prime is 1608214913. The next prime is 1608214957. The reversal of 1608214920 is 294128061.

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, 9295954 + ... + 9296126.

It is an arithmetic number, because the mean of its divisors is an integer number (20964825).

Almost surely, 2^1608214920 is an apocalyptic number.

1608214920 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 1608214920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683497600).

1608214920 is an abundant number, since it is smaller than the sum of its proper divisors (3758780280).

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

1608214920 is a wasteful number, since it uses less digits than its factorization.

1608214920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1608214920 is about 40102.5550308207. Note that the first 3 decimals coincide. The cubic root of 1608214920 is about 1171.6053935228.

The spelling of 1608214920 in words is "one billion, six hundred eight million, two hundred fourteen thousand, nine hundred twenty".