851754816 has 210 divisors, whose sum is σ = 2712114210. Its totient is φ = 255552000.

The previous prime is 851754749. The next prime is 851754833. The reversal of 851754816 is 618457158.

851754816 is a `hidden beast` number, since 8 + 517 + 54 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 843321600 + 8433216 = 29040^2 + 2904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8433166 + ... + 8433266.

Almost surely, 2^851754816 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 851754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356057105).

851754816 is an abundant number, since it is smaller than the sum of its proper divisors (1860359394).

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

851754816 is a wasteful number, since it uses less digits than its factorization.

851754816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 117 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 851754816 is about 29184.8388037351. The cubic root of 851754816 is about 947.9196641852.

The spelling of 851754816 in words is "eight hundred fifty-one million, seven hundred fifty-four thousand, eight hundred sixteen".