838656 has 132 divisors (see below), whose sum is σ = 2980432. Its totient is φ = 221184.

The previous prime is 838633. The next prime is 838657. The reversal of 838656 is 656838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 838656.

It is not an unprimeable number, because it can be changed into a prime (838657) by changing a digit.

838656 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, 64506 + ... + 64518.

2⁸³⁸⁶⁵⁶ 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 838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490216).

838656 is an abundant number, since it is smaller than the sum of its proper divisors (2141776).

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

838656 is a wasteful number, since it uses less digits than its factorization.

838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 25 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 838656 is about 915.7816333603. The cubic root of 838656 is about 94.3035306749.

The spelling of 838656 in words is "eight hundred thirty-eight thousand, six hundred fifty-six".