1608964200 has 144 divisors (see below), whose sum is σ = 5427321900. Its totient is φ = 427161600.

The previous prime is 1608964199. The next prime is 1608964211. The reversal of 1608964200 is 24698061.

1608964200 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 9 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 594286884 + 1014677316 = 24378^2 + 31854^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 431946 + ... + 435654.

Almost surely, 2^1608964200 is an apocalyptic number.

1608964200 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 1608964200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713660950).

1608964200 is an abundant number, since it is smaller than the sum of its proper divisors (3818357700).

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

1608964200 is a wasteful number, since it uses less digits than its factorization.

1608964200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3960 counting only the distinct ones).

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

The square root of 1608964200 is about 40111.8959910897. The cubic root of 1608964200 is about 1171.7873186664.

The spelling of 1608964200 in words is "one billion, six hundred eight million, nine hundred sixty-four thousand, two hundred".