838638160 has 40 divisors (see below), whose sum is σ = 1960640136. Its totient is φ = 333596160.

The previous prime is 838638139. The next prime is 838638161. The reversal of 838638160 is 61836838.

838638160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 835441216 = 1788^2 + 28904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838638161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14479 + ... + 43438.

Almost surely, 2^838638160 is an apocalyptic number.

838638160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

838638160 is the 14480-th decagonal number.

It is an amenable number.

838638160 is an abundant number, since it is smaller than the sum of its proper divisors (1122001976).

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

838638160 is a wasteful number, since it uses less digits than its factorization.

838638160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58111 (or 58105 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 838638160 is about 28959.2499902881. The cubic root of 838638160 is about 943.0286199114.

The spelling of 838638160 in words is "eight hundred thirty-eight million, six hundred thirty-eight thousand, one hundred sixty".