851746896 has 480 divisors, whose sum is σ = 3379783680. Its totient is φ = 192844800.

The previous prime is 851746871. The next prime is 851746897. The reversal of 851746896 is 698647158.

851746896 is a `hidden beast` number, since 8 + 517 + 46 + 89 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851746897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2738581 + ... + 2738891.

It is an arithmetic number, because the mean of its divisors is an integer number (7041216).

Almost surely, 2^851746896 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 851746896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689891840).

851746896 is an abundant number, since it is smaller than the sum of its proper divisors (2528036784).

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

851746896 is a wasteful number, since it uses less digits than its factorization.

851746896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 851746896 is about 29184.7031165301. The cubic root of 851746896 is about 947.9167261148.

It can be divided in two parts, 851 and 746896, that added together give a palindrome (747747).

The spelling of 851746896 in words is "eight hundred fifty-one million, seven hundred forty-six thousand, eight hundred ninety-six".