845661200 has 60 divisors (see below), whose sum is σ = 2059603668. Its totient is φ = 333619200.

The previous prime is 845661181. The next prime is 845661241. The reversal of 845661200 is 2166548.

It can be written as a sum of positive squares in 6 ways, for example, as 23348224 + 822312976 = 4832^2 + 28676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14720 + ... + 43680.

Almost surely, 2^845661200 is an apocalyptic number.

845661200 is a gapful number since it is divisible by the number (80) 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 845661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029801834).

845661200 is an abundant number, since it is smaller than the sum of its proper divisors (1213942468).

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

845661200 is a wasteful number, since it uses less digits than its factorization.

845661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29052 (or 29041 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 845661200 is about 29080.2544693130. The cubic root of 845661200 is about 945.6537193570.

The spelling of 845661200 in words is "eight hundred forty-five million, six hundred sixty-one thousand, two hundred".