851224320 has 216 divisors, whose sum is σ = 3100952400. Its totient is φ = 214990848.

The previous prime is 851224313. The next prime is 851224321. The reversal of 851224320 is 23422158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851224321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216936 + ... + 220824.

Almost surely, 2^851224320 is an apocalyptic number.

851224320 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 851224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550476200).

851224320 is an abundant number, since it is smaller than the sum of its proper divisors (2249728080).

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

851224320 is a wasteful number, since it uses less digits than its factorization.

851224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 851224320 is about 29175.7488335775. The cubic root of 851224320 is about 947.7228266225.

Adding to 851224320 its reverse (23422158), we get a palindrome (874646478).

The spelling of 851224320 in words is "eight hundred fifty-one million, two hundred twenty-four thousand, three hundred twenty".