1608024420 has 96 divisors (see below), whose sum is σ = 5010042240. Its totient is φ = 428181120.

The previous prime is 1608024391. The next prime is 1608024427. The reversal of 1608024420 is 244208061.

1608024420 is a `hidden beast` number, since 160 + 80 + 2 + 4 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1608024427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458875 + ... + 462365.

It is an arithmetic number, because the mean of its divisors is an integer number (52187940).

Almost surely, 2^1608024420 is an apocalyptic number.

1608024420 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 1608024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505021120).

1608024420 is an abundant number, since it is smaller than the sum of its proper divisors (3402017820).

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

1608024420 is a wasteful number, since it uses less digits than its factorization.

1608024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1608024420 is about 40100.1798000957. The cubic root of 1608024420 is about 1171.5591311239.

The spelling of 1608024420 in words is "one billion, six hundred eight million, twenty-four thousand, four hundred twenty".