838410216 has 128 divisors (see below), whose sum is σ = 2595732480. Its totient is φ = 220179456.

The previous prime is 838410211. The next prime is 838410217. The reversal of 838410216 is 612014838.

It is not an unprimeable number, because it can be changed into a prime (838410211) 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, 119395 + ... + 126221.

It is an arithmetic number, because the mean of its divisors is an integer number (20279160).

Almost surely, 2^838410216 is an apocalyptic number.

838410216 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 838410216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297866240).

838410216 is an abundant number, since it is smaller than the sum of its proper divisors (1757322264).

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

838410216 is a wasteful number, since it uses less digits than its factorization.

838410216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 838410216 is about 28955.3141236630. The cubic root of 838410216 is about 942.9431729712.

The spelling of 838410216 in words is "eight hundred thirty-eight million, four hundred ten thousand, two hundred sixteen".