1608090624 has 264 divisors, whose sum is σ = 5544586080. Its totient is φ = 459067392.

The previous prime is 1608090623. The next prime is 1608090641. The reversal of 1608090624 is 4260908061.

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

It is not an unprimeable number, because it can be changed into a prime (1608090623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354159 + ... + 1355345.

It is an arithmetic number, because the mean of its divisors is an integer number (21002220).

Almost surely, 2^1608090624 is an apocalyptic number.

1608090624 is a gapful number since it is divisible by the number (14) 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 1608090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772293040).

1608090624 is an abundant number, since it is smaller than the sum of its proper divisors (3936495456).

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

1608090624 is a wasteful number, since it uses less digits than its factorization.

1608090624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1608090624 is about 40101.0052741823. The cubic root of 1608090624 is about 1171.5752089967.

Adding to 1608090624 its reverse (4260908061), we get a palindrome (5868998685).

The spelling of 1608090624 in words is "one billion, six hundred eight million, ninety thousand, six hundred twenty-four".