838816 has 24 divisors (see below), whose sum is σ = 1802304. Its totient is φ = 381120.

The previous prime is 838813. The next prime is 838837. The reversal of 838816 is 618838.

838816 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×838816² = 1407224563712, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (838813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 840 + ... + 1543.

It is an arithmetic number, because the mean of its divisors is an integer number (75096).

2⁸³⁸⁸¹⁶ is an apocalyptic number.

It is an amenable number.

838816 is an abundant number, since it is smaller than the sum of its proper divisors (963488).

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

838816 is a wasteful number, since it uses less digits than its factorization.

838816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2396 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 838816 is about 915.8689862639. The cubic root of 838816 is about 94.3095274147.

The spelling of 838816 in words is "eight hundred thirty-eight thousand, eight hundred sixteen".