838160 has 20 divisors (see below), whose sum is σ = 1948908. Its totient is φ = 335232.

The previous prime is 838157. The next prime is 838169. The reversal of 838160 is 61838.

It can be written as a sum of positive squares in 2 ways, for example, as 473344 + 364816 = 688^2 + 604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838160.

It is not an unprimeable number, because it can be changed into a prime (838169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5159 + ... + 5318.

2⁸³⁸¹⁶⁰ is an apocalyptic number.

838160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

838160 is an abundant number, since it is smaller than the sum of its proper divisors (1110748).

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

838160 is a wasteful number, since it uses less digits than its factorization.

838160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10490 (or 10484 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 838160 is about 915.5107863919. The cubic root of 838160 is about 94.2849359331.

Adding to 838160 its reverse (61838), we get a palindrome (899998).

The spelling of 838160 in words is "eight hundred thirty-eight thousand, one hundred sixty".