851906040 has 256 divisors, whose sum is σ = 2944512000. Its totient is φ = 195747840.

The previous prime is 851905979. The next prime is 851906051. The reversal of 851906040 is 40609158.

It is a junction number, because it is equal to n+sod(n) for n = 851905992 and 851906010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1201206 + ... + 1201914.

It is an arithmetic number, because the mean of its divisors is an integer number (11502000).

Almost surely, 2^851906040 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 851906040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472256000).

851906040 is an abundant number, since it is smaller than the sum of its proper divisors (2092605960).

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

851906040 is a wasteful number, since it uses less digits than its factorization.

851906040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 851906040 is about 29187.4294859962. The cubic root of 851906040 is about 947.9757600311.

The spelling of 851906040 in words is "eight hundred fifty-one million, nine hundred six thousand, forty".