851354064 has 300 divisors, whose sum is σ = 2783767140. Its totient is φ = 250905600.

The previous prime is 851354057. The next prime is 851354069. The reversal of 851354064 is 460453158.

It is a happy number.

851354064 is a `hidden beast` number, since 8 + 51 + 3 + 540 + 64 = 666.

851354064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 82955664 + 768398400 = 9108^2 + 27720^2 .

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 (851354069) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9565732 + ... + 9565820.

Almost surely, 2^851354064 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 851354064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391883570).

851354064 is an abundant number, since it is smaller than the sum of its proper divisors (1932413076).

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

851354064 is a wasteful number, since it uses less digits than its factorization.

851354064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 851354064 is about 29177.9722393452. The cubic root of 851354064 is about 947.7709749585.

The spelling of 851354064 in words is "eight hundred fifty-one million, three hundred fifty-four thousand, sixty-four".