1608141600 has 720 divisors, whose sum is σ = 6669698112. Its totient is φ = 374077440.

The previous prime is 1608141593. The next prime is 1608141629. The reversal of 1608141600 is 61418061.

1608141600 is a `hidden beast` number, since 16 + 0 + 8 + 1 + 41 + 600 = 666.

1608141600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1608141600² = 5172238811301120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19375159 + ... + 19375241.

Almost surely, 2^1608141600 is an apocalyptic number.

1608141600 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 1608141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334849056).

1608141600 is an abundant number, since it is smaller than the sum of its proper divisors (5061556512).

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

1608141600 is a wasteful number, since it uses less digits than its factorization.

1608141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1608141600 is about 40101.6408641841. The cubic root of 1608141600 is about 1171.5875883958.

Adding to 1608141600 its reverse (61418061), we get a palindrome (1669559661).

The spelling of 1608141600 in words is "one billion, six hundred eight million, one hundred forty-one thousand, six hundred".