851611068 has 144 divisors (see below), whose sum is σ = 2707111680. Its totient is φ = 221110560.

The previous prime is 851611067. The next prime is 851611069. The reversal of 851611068 is 860116158.

851611068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (851611067) and next prime (851611069).

It is a super-2 number, since 2×851611068² = 1450482822280201248, 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 not an unprimeable number, because it can be changed into a prime (851611063) 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, 334143 + ... + 336681.

Almost surely, 2^851611068 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 851611068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353555840).

851611068 is an abundant number, since it is smaller than the sum of its proper divisors (1855500612).

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

851611068 is a wasteful number, since it uses less digits than its factorization.

851611068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 851611068 is about 29182.3759827743. The cubic root of 851611068 is about 947.8663353714.

The spelling of 851611068 in words is "eight hundred fifty-one million, six hundred eleven thousand, sixty-eight".