855547200 has 504 divisors, whose sum is σ = 3316528800. Its totient is φ = 208465920.

The previous prime is 855547193. The next prime is 855547247. The reversal of 855547200 is 2745558.

It is a happy number.

855547200 is a `hidden beast` number, since 85 + 554 + 7 + 20 + 0 = 666.

It is a super-2 number, since 2×855547200² = 1463922022855680000, 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14500771 + ... + 14500829.

Almost surely, 2^855547200 is an apocalyptic number.

855547200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

855547200 is the 15635-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658264400).

855547200 is an abundant number, since it is smaller than the sum of its proper divisors (2460981600).

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

855547200 is a wasteful number, since it uses less digits than its factorization.

855547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 855547200 is about 29249.7384603692. The cubic root of 855547200 is about 949.3244319818.

It can be divided in two parts, 8555 and 47200, that added together give a palindrome (55755).

The spelling of 855547200 in words is "eight hundred fifty-five million, five hundred forty-seven thousand, two hundred".