838170816 has 112 divisors (see below), whose sum is σ = 2569488384. Its totient is φ = 236169216.

The previous prime is 838170811. The next prime is 838170859. The reversal of 838170816 is 618071838.

838170816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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

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

It is not an unprimeable number, because it can be changed into a prime (838170811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93841 + ... + 102383.

Almost surely, 2^838170816 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 838170816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284744192).

838170816 is an abundant number, since it is smaller than the sum of its proper divisors (1731317568).

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

838170816 is a wasteful number, since it uses less digits than its factorization.

838170816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 838170816 is about 28951.1798723299. The cubic root of 838170816 is about 942.8534149662.

It can be divided in two parts, 8381 and 70816, that added together give a palindrome (79197).

The spelling of 838170816 in words is "eight hundred thirty-eight million, one hundred seventy thousand, eight hundred sixteen".