840517216 has 96 divisors (see below), whose sum is σ = 2111332608. Its totient is φ = 319818240.

The previous prime is 840517163. The next prime is 840517217. The reversal of 840517216 is 612715048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840517217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101986 + ... + 109918.

It is an arithmetic number, because the mean of its divisors is an integer number (21993048).

Almost surely, 2^840517216 is an apocalyptic number.

840517216 is a gapful number since it is divisible by the number (86) 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 840517216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055666304).

840517216 is an abundant number, since it is smaller than the sum of its proper divisors (1270815392).

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

840517216 is a wasteful number, since it uses less digits than its factorization.

840517216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 840517216 is about 28991.6749429901. The cubic root of 840517216 is about 943.7324124261.

The spelling of 840517216 in words is "eight hundred forty million, five hundred seventeen thousand, two hundred sixteen".