1608225840 has 400 divisors, whose sum is σ = 6374779488. Its totient is φ = 372252672.

The previous prime is 1608225793. The next prime is 1608225847. The reversal of 1608225840 is 485228061.

1608225840 is a `hidden beast` number, since 1 + 608 + 2 + 2 + 5 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1608225795 and 1608225804.

It is not an unprimeable number, because it can be changed into a prime (1608225847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431519 + ... + 1432641.

Almost surely, 2^1608225840 is an apocalyptic number.

1608225840 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 1608225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187389744).

1608225840 is an abundant number, since it is smaller than the sum of its proper divisors (4766553648).

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

1608225840 is a wasteful number, since it uses less digits than its factorization.

1608225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1608225840 is about 40102.6911815155. The cubic root of 1608225840 is about 1171.6080453040.

The spelling of 1608225840 in words is "one billion, six hundred eight million, two hundred twenty-five thousand, eight hundred forty".