851766552 has 192 divisors, whose sum is σ = 2880783360. Its totient is φ = 221356800.

The previous prime is 851766497. The next prime is 851766577. The reversal of 851766552 is 255667158.

851766552 is a `hidden beast` number, since 85 + 17 + 6 + 6 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 851766498 and 851766507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464277 + ... + 466107.

It is an arithmetic number, because the mean of its divisors is an integer number (15004080).

Almost surely, 2^851766552 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 851766552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440391680).

851766552 is an abundant number, since it is smaller than the sum of its proper divisors (2029016808).

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

851766552 is a wasteful number, since it uses less digits than its factorization.

851766552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1927 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 851766552 is about 29185.0398663425. The cubic root of 851766552 is about 947.9240178380.

The spelling of 851766552 in words is "eight hundred fifty-one million, seven hundred sixty-six thousand, five hundred fifty-two".