838116 has 36 divisors (see below), whose sum is σ = 2189824. Its totient is φ = 270000.

The previous prime is 838099. The next prime is 838133. The reversal of 838116 is 611838.

838116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (838099) and next prime (838133).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 838116.

It is an unprimeable number.

838116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741 + ... + 1491.

2⁸³⁸¹¹⁶ 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 838116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094912).

838116 is an abundant number, since it is smaller than the sum of its proper divisors (1351708).

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

838116 is a wasteful number, since it uses less digits than its factorization.

838116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 787 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 838116 is about 915.4867557753. The cubic root of 838116 is about 94.2832860453.

The spelling of 838116 in words is "eight hundred thirty-eight thousand, one hundred sixteen".