845608000 has 56 divisors (see below), whose sum is σ = 2094168024. Its totient is φ = 338240000.

The previous prime is 845607967. The next prime is 845608039. The reversal of 845608000 is 806548.

It can be written as a sum of positive squares in 4 ways, for example, as 121352256 + 724255744 = 11016^2 + 26912^2 .

It is a super-3 number, since 3×845608000³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44851 + ... + 60850.

Almost surely, 2^845608000 is an apocalyptic number.

845608000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

845608000 is an abundant number, since it is smaller than the sum of its proper divisors (1248560024).

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

845608000 is a wasteful number, since it uses less digits than its factorization.

845608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105728 (or 105708 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 845608000 is about 29079.3397449117. The cubic root of 845608000 is about 945.6338887862.

The spelling of 845608000 in words is "eight hundred forty-five million, six hundred eight thousand".