1608371424 has 192 divisors, whose sum is σ = 5146848000. Its totient is φ = 484600320.

The previous prime is 1608371423. The next prime is 1608371461. The reversal of 1608371424 is 4241738061.

1608371424 is a `hidden beast` number, since 1 + 608 + 3 + 7 + 1 + 42 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608371423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2176047 + ... + 2176785.

It is an arithmetic number, because the mean of its divisors is an integer number (26806500).

Almost surely, 2^1608371424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1608371424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573424000).

1608371424 is an abundant number, since it is smaller than the sum of its proper divisors (3538476576).

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

1608371424 is a wasteful number, since it uses less digits than its factorization.

1608371424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1608371424 is about 40104.5062804668. The cubic root of 1608371424 is about 1171.6433973536.

It can be divided in two parts, 160837 and 1424, that added together give a palindrome (162261).

The spelling of 1608371424 in words is "one billion, six hundred eight million, three hundred seventy-one thousand, four hundred twenty-four".