851649792 has 288 divisors, whose sum is σ = 2737324800. Its totient is φ = 234823680.

The previous prime is 851649791. The next prime is 851649817. The reversal of 851649792 is 297946158.

Its product of digits (1088640) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851649791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13961442 + ... + 13961502.

It is an arithmetic number, because the mean of its divisors is an integer number (9504600).

Almost surely, 2^851649792 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 851649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368662400).

851649792 is an abundant number, since it is smaller than the sum of its proper divisors (1885675008).

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

851649792 is an equidigital number, since it uses as much as digits as its factorization.

851649792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 851649792 is about 29183.0394578769. The cubic root of 851649792 is about 947.8807021095.

The spelling of 851649792 in words is "eight hundred fifty-one million, six hundred forty-nine thousand, seven hundred ninety-two".