838964 has 36 divisors (see below), whose sum is σ = 1792224. Its totient is φ = 336528.

The previous prime is 838963. The next prime is 838969. The reversal of 838964 is 469838.

838964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10067 + ... + 10149.

It is an arithmetic number, because the mean of its divisors is an integer number (49784).

2⁸³⁸⁹⁶⁴ 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 838964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896112).

838964 is an abundant number, since it is smaller than the sum of its proper divisors (953260).

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

838964 is a wasteful number, since it uses less digits than its factorization.

838964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 838964 is about 915.9497802827. The cubic root of 838964 is about 94.3150737201.

The spelling of 838964 in words is "eight hundred thirty-eight thousand, nine hundred sixty-four".