1608212800 has 42 divisors (see below), whose sum is σ = 3957212558. Its totient is φ = 643284480.

The previous prime is 1608212797. The next prime is 1608212803. The reversal of 1608212800 is 82128061.

It is an interprime number because it is at equal distance from previous prime (1608212797) and next prime (1608212803).

It can be written as a sum of positive squares in 3 ways, for example, as 83466496 + 1524746304 = 9136^2 + 39048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608212803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500967 + ... + 504166.

Almost surely, 2^1608212800 is an apocalyptic number.

1608212800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608212800 is an abundant number, since it is smaller than the sum of its proper divisors (2348999758).

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

1608212800 is a wasteful number, since it uses less digits than its factorization.

1608212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005155 (or 1005140 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1608212800 is about 40102.5285985809. The cubic root of 1608212800 is about 1171.6048787068.

It can be divided in two parts, 16082 and 12800, that added together give a palindrome (28882).

The spelling of 1608212800 in words is "one billion, six hundred eight million, two hundred twelve thousand, eight hundred".