855820224 has 336 divisors, whose sum is σ = 2982260736. Its totient is φ = 229478400.

The previous prime is 855820219. The next prime is 855820261. The reversal of 855820224 is 422028558.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 5124589 + ... + 5124755.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^855820224 is an apocalyptic number.

855820224 is a gapful number since it is divisible by the number (84) 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 855820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491130368).

855820224 is an abundant number, since it is smaller than the sum of its proper divisors (2126440512).

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

855820224 is a wasteful number, since it uses less digits than its factorization.

855820224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 855820224 is about 29254.4052067377. The cubic root of 855820224 is about 949.4254047034.

It can be divided in two parts, 8558 and 20224, that added together give a palindrome (28782).

The spelling of 855820224 in words is "eight hundred fifty-five million, eight hundred twenty thousand, two hundred twenty-four".