855993600 has 648 divisors, whose sum is σ = 3835296192. Its totient is φ = 176947200.

The previous prime is 855993587. The next prime is 855993623. The reversal of 855993600 is 6399558.

855993600 is a `hidden beast` number, since 8 + 559 + 93 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4435104 + ... + 4435296.

Almost surely, 2^855993600 is an apocalyptic number.

855993600 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 855993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917648096).

855993600 is an abundant number, since it is smaller than the sum of its proper divisors (2979302592).

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

855993600 is a wasteful number, since it uses less digits than its factorization.

855993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 855993600 is about 29257.3683027028. The cubic root of 855993600 is about 949.4895133639.

The spelling of 855993600 in words is "eight hundred fifty-five million, nine hundred ninety-three thousand, six hundred".