845643600 has 180 divisors, whose sum is σ = 2946748896. Its totient is φ = 224574720.

The previous prime is 845643587. The next prime is 845643619. The reversal of 845643600 is 6346548.

845643600 is a `hidden beast` number, since 8 + 4 + 5 + 6 + 43 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×845643600² = 1430226196441920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1680949 + ... + 1681451.

Almost surely, 2^845643600 is an apocalyptic number.

845643600 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 845643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473374448).

845643600 is an abundant number, since it is smaller than the sum of its proper divisors (2101105296).

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

845643600 is a wasteful number, since it uses less digits than its factorization.

845643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 845643600 is about 29079.9518569065. The cubic root of 845643600 is about 945.6471589594.

The spelling of 845643600 in words is "eight hundred forty-five million, six hundred forty-three thousand, six hundred".