855611600 has 60 divisors (see below), whose sum is σ = 2059615200. Its totient is φ = 341577600.

The previous prime is 855611543. The next prime is 855611609. The reversal of 855611600 is 6116558.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855611609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 237815 + ... + 241385.

It is an arithmetic number, because the mean of its divisors is an integer number (34326920).

Almost surely, 2^855611600 is an apocalyptic number.

855611600 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 855611600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029807600).

855611600 is an abundant number, since it is smaller than the sum of its proper divisors (1204003600).

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

855611600 is a wasteful number, since it uses less digits than its factorization.

855611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 855611600 is about 29250.8393041978. The cubic root of 855611600 is about 949.3482510298.

The spelling of 855611600 in words is "eight hundred fifty-five million, six hundred eleven thousand, six hundred".