851641560 has 768 divisors, whose sum is σ = 3830400000. Its totient is φ = 167650560.

The previous prime is 851641547. The next prime is 851641561. The reversal of 851641560 is 65146158.

851641560 is a `hidden beast` number, since 8 + 5 + 1 + 641 + 5 + 6 + 0 = 666.

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 (851641561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44823231 + ... + 44823249.

It is an arithmetic number, because the mean of its divisors is an integer number (4987500).

Almost surely, 2^851641560 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 851641560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915200000).

851641560 is an abundant number, since it is smaller than the sum of its proper divisors (2978758440).

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

851641560 is a wasteful number, since it uses less digits than its factorization.

851641560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 851641560 is about 29182.8984167097. The cubic root of 851641560 is about 947.8776480455.

It can be divided in two parts, 851 and 641560, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 851641560 in words is "eight hundred fifty-one million, six hundred forty-one thousand, five hundred sixty".