839664 has 120 divisors (see below), whose sum is σ = 2901600. Its totient is φ = 225792.

The previous prime is 839653. The next prime is 839669. The reversal of 839664 is 466938.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (839669) by changing a digit.

839664 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 23 ways as a sum of consecutive naturals, for example, 49384 + ... + 49400.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2⁸³⁹⁶⁶⁴ is an apocalyptic number.

839664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 839664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450800).

839664 is an abundant number, since it is smaller than the sum of its proper divisors (2061936).

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

839664 is a wasteful number, since it uses less digits than its factorization.

839664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 29 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 839664 is about 916.3318176294. The cubic root of 839664 is about 94.3412974113.

The spelling of 839664 in words is "eight hundred thirty-nine thousand, six hundred sixty-four".