847916160 has 512 divisors, whose sum is σ = 3487518720. Its totient is φ = 170311680.

The previous prime is 847916149. The next prime is 847916219. The reversal of 847916160 is 61619748.

It is a Cunningham number, because it is equal to 29119²-1.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4018455 + ... + 4018665.

It is an arithmetic number, because the mean of its divisors is an integer number (6811560).

Almost surely, 2^847916160 is an apocalyptic number.

847916160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 847916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743759360).

847916160 is an abundant number, since it is smaller than the sum of its proper divisors (2639602560).

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

847916160 is a wasteful number, since it uses less digits than its factorization.

847916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 847916160 is about 29118.9999828291. Note that the first 4 decimals coincide. The cubic root of 847916160 is about 946.4935035605.

It can be divided in two parts, 84791 and 6160, that added together give a triangular number (90951 = T₄₂₆).

The spelling of 847916160 in words is "eight hundred forty-seven million, nine hundred sixteen thousand, one hundred sixty".