851918340 has 192 divisors, whose sum is σ = 3015903744. Its totient is φ = 174845952.

The previous prime is 851918323. The next prime is 851918341. The reversal of 851918340 is 43819158.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (851918341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199912 + ... + 204128.

It is an arithmetic number, because the mean of its divisors is an integer number (15707832).

Almost surely, 2^851918340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851918340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507951872).

851918340 is an abundant number, since it is smaller than the sum of its proper divisors (2163985404).

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

851918340 is a wasteful number, since it uses less digits than its factorization.

851918340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 851918340 is about 29187.6401923828. The cubic root of 851918340 is about 947.9803223675.

It can be divided in two parts, 851918 and 340, that added together give a palindrome (852258).

The spelling of 851918340 in words is "eight hundred fifty-one million, nine hundred eighteen thousand, three hundred forty".