851329626 has 96 divisors (see below), whose sum is σ = 2115694080. Its totient is φ = 227203200.

The previous prime is 851329601. The next prime is 851329627. The reversal of 851329626 is 626923158.

851329626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (851329627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262696 + ... + 265916.

It is an arithmetic number, because the mean of its divisors is an integer number (22038480).

Almost surely, 2^851329626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851329626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057847040).

851329626 is an abundant number, since it is smaller than the sum of its proper divisors (1264364454).

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

851329626 is a wasteful number, since it uses less digits than its factorization.

851329626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3293 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 851329626 is about 29177.5534615224. The cubic root of 851329626 is about 947.7619063270.

The spelling of 851329626 in words is "eight hundred fifty-one million, three hundred twenty-nine thousand, six hundred twenty-six".