838168320 has 144 divisors (see below), whose sum is σ = 2920401792. Its totient is φ = 203182080.

The previous prime is 838168319. The next prime is 838168327. The reversal of 838168320 is 23861838.

838168320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×838168320² = 1405052265303244800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838168327) 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, 32319 + ... + 52161.

It is an arithmetic number, because the mean of its divisors is an integer number (20280568).

Almost surely, 2^838168320 is an apocalyptic number.

838168320 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 838168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460200896).

838168320 is an abundant number, since it is smaller than the sum of its proper divisors (2082233472).

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

838168320 is a wasteful number, since it uses less digits than its factorization.

838168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19878 (or 19864 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 838168320 is about 28951.1367652464. The cubic root of 838168320 is about 942.8524790534.

The spelling of 838168320 in words is "eight hundred thirty-eight million, one hundred sixty-eight thousand, three hundred twenty".