838217016 has 192 divisors, whose sum is σ = 2814302400. Its totient is φ = 220776192.

The previous prime is 838216969. The next prime is 838217021. The reversal of 838217016 is 610712838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1106910 + ... + 1107666.

It is an arithmetic number, because the mean of its divisors is an integer number (14657825).

Almost surely, 2^838217016 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 838217016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407151200).

838217016 is an abundant number, since it is smaller than the sum of its proper divisors (1976085384).

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

838217016 is a wasteful number, since it uses less digits than its factorization.

838217016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 838217016 is about 28951.9777562777. The cubic root of 838217016 is about 942.8707380173.

The spelling of 838217016 in words is "eight hundred thirty-eight million, two hundred seventeen thousand, sixteen".